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Finding the Fourth Proportional to 4,043.68, 6,061.68 and 1,580.08

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Solution

The fourth proportional to 4,043.68, 6,061.68 and 1,580.08 is: 2,368.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043.68 : 6,061.68 = 1,580.08 : x
  2. Step 2: Convert to fraction form
    4,043.68/6,061.68 = 1,580.08/x
  3. Step 3: Cross multiply
    4,043.68x = 6,061.68 × 1,580.08
  4. Step 4: Simplify right side
    4,043.68x = 9,577,939.33
  5. Step 5: Solve for x
    x = 9,577,939.33/4,043.68
  6. Step 6: Final answer
    x = 2,368.62

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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.