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Finding the Fourth Proportional to 1,655.62, 2,284.10 and 1,066.50

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Solution

The fourth proportional to 1,655.62, 2,284.10 and 1,066.50 is: 1,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.62 : 2,284.10 = 1,066.50 : x
  2. Step 2: Convert to fraction form
    1,655.62/2,284.10 = 1,066.50/x
  3. Step 3: Cross multiply
    1,655.62x = 2,284.10 × 1,066.50
  4. Step 4: Simplify right side
    1,655.62x = 2,435,995.32
  5. Step 5: Solve for x
    x = 2,435,995.32/1,655.62
  6. Step 6: Final answer
    x = 1,471.35

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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.