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Finding the Fourth Proportional to 1,656.43, 2,284.91 and 1,034.35

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Solution

The fourth proportional to 1,656.43, 2,284.91 and 1,034.35 is: 1,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.43 : 2,284.91 = 1,034.35 : x
  2. Step 2: Convert to fraction form
    1,656.43/2,284.91 = 1,034.35/x
  3. Step 3: Cross multiply
    1,656.43x = 2,284.91 × 1,034.35
  4. Step 4: Simplify right side
    1,656.43x = 2,363,393.53
  5. Step 5: Solve for x
    x = 2,363,393.53/1,656.43
  6. Step 6: Final answer
    x = 1,426.80

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