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Finding the Fourth Proportional to 4,432.56, 6,646.80 and 1,510.08

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Solution

The fourth proportional to 4,432.56, 6,646.80 and 1,510.08 is: 2,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.56 : 6,646.80 = 1,510.08 : x
  2. Step 2: Convert to fraction form
    4,432.56/6,646.80 = 1,510.08/x
  3. Step 3: Cross multiply
    4,432.56x = 6,646.80 × 1,510.08
  4. Step 4: Simplify right side
    4,432.56x = 10,037,199.74
  5. Step 5: Solve for x
    x = 10,037,199.74/4,432.56
  6. Step 6: Final answer
    x = 2,264.43

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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.