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Finding the Fourth Proportional to 3,406.04, 4,700.22 and 1,914.08

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Solution

The fourth proportional to 3,406.04, 4,700.22 and 1,914.08 is: 2,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.04 : 4,700.22 = 1,914.08 : x
  2. Step 2: Convert to fraction form
    3,406.04/4,700.22 = 1,914.08/x
  3. Step 3: Cross multiply
    3,406.04x = 4,700.22 × 1,914.08
  4. Step 4: Simplify right side
    3,406.04x = 8,996,597.10
  5. Step 5: Solve for x
    x = 8,996,597.10/3,406.04
  6. Step 6: Final answer
    x = 2,641.37

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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.