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Finding the Fourth Proportional to 1,580.71, 2,179.10 and 1,160.32

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Solution

The fourth proportional to 1,580.71, 2,179.10 and 1,160.32 is: 1,599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.71 : 2,179.10 = 1,160.32 : x
  2. Step 2: Convert to fraction form
    1,580.71/2,179.10 = 1,160.32/x
  3. Step 3: Cross multiply
    1,580.71x = 2,179.10 × 1,160.32
  4. Step 4: Simplify right side
    1,580.71x = 2,528,453.31
  5. Step 5: Solve for x
    x = 2,528,453.31/1,580.71
  6. Step 6: Final answer
    x = 1,599.57

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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.