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Finding the Fourth Proportional to 1,536.71, 2,121.49 and 1,116.32

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Solution

The fourth proportional to 1,536.71, 2,121.49 and 1,116.32 is: 1,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.71 : 2,121.49 = 1,116.32 : x
  2. Step 2: Convert to fraction form
    1,536.71/2,121.49 = 1,116.32/x
  3. Step 3: Cross multiply
    1,536.71x = 2,121.49 × 1,116.32
  4. Step 4: Simplify right side
    1,536.71x = 2,368,252.50
  5. Step 5: Solve for x
    x = 2,368,252.50/1,536.71
  6. Step 6: Final answer
    x = 1,541.12

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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.