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Finding the Fourth Proportional to 1,358.64, 1,875.96 and 1,097.82

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Solution

The fourth proportional to 1,358.64, 1,875.96 and 1,097.82 is: 1,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.64 : 1,875.96 = 1,097.82 : x
  2. Step 2: Convert to fraction form
    1,358.64/1,875.96 = 1,097.82/x
  3. Step 3: Cross multiply
    1,358.64x = 1,875.96 × 1,097.82
  4. Step 4: Simplify right side
    1,358.64x = 2,059,466.41
  5. Step 5: Solve for x
    x = 2,059,466.41/1,358.64
  6. Step 6: Final answer
    x = 1,515.83

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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.