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Finding the Fourth Proportional to 3,068.43, 4,602.65 and 877.16

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Solution

The fourth proportional to 3,068.43, 4,602.65 and 877.16 is: 1,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.43 : 4,602.65 = 877.16 : x
  2. Step 2: Convert to fraction form
    3,068.43/4,602.65 = 877.16/x
  3. Step 3: Cross multiply
    3,068.43x = 4,602.65 × 877.16
  4. Step 4: Simplify right side
    3,068.43x = 4,037,233.07
  5. Step 5: Solve for x
    x = 4,037,233.07/3,068.43
  6. Step 6: Final answer
    x = 1,315.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.