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Finding the Fourth Proportional to 1,532.59, 2,116.88 and 1,509.55

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Solution

The fourth proportional to 1,532.59, 2,116.88 and 1,509.55 is: 2,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.59 : 2,116.88 = 1,509.55 : x
  2. Step 2: Convert to fraction form
    1,532.59/2,116.88 = 1,509.55/x
  3. Step 3: Cross multiply
    1,532.59x = 2,116.88 × 1,509.55
  4. Step 4: Simplify right side
    1,532.59x = 3,195,528.66
  5. Step 5: Solve for x
    x = 3,195,528.66/1,532.59
  6. Step 6: Final answer
    x = 2,085.05

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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.