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Finding the Fourth Proportional to 2,607.41, 3,598.22 and 1,412.40

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Solution

The fourth proportional to 2,607.41, 3,598.22 and 1,412.40 is: 1,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.41 : 3,598.22 = 1,412.40 : x
  2. Step 2: Convert to fraction form
    2,607.41/3,598.22 = 1,412.40/x
  3. Step 3: Cross multiply
    2,607.41x = 3,598.22 × 1,412.40
  4. Step 4: Simplify right side
    2,607.41x = 5,082,125.93
  5. Step 5: Solve for x
    x = 5,082,125.93/2,607.41
  6. Step 6: Final answer
    x = 1,949.11

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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.