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Finding the Fourth Proportional to 3,607.42, 4,978.47 and 2,034.94

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Solution

The fourth proportional to 3,607.42, 4,978.47 and 2,034.94 is: 2,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.42 : 4,978.47 = 2,034.94 : x
  2. Step 2: Convert to fraction form
    3,607.42/4,978.47 = 2,034.94/x
  3. Step 3: Cross multiply
    3,607.42x = 4,978.47 × 2,034.94
  4. Step 4: Simplify right side
    3,607.42x = 10,130,887.74
  5. Step 5: Solve for x
    x = 10,130,887.74/3,607.42
  6. Step 6: Final answer
    x = 2,808.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.