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Finding the Fourth Proportional to 1,339.68, 1,848.24 and 815.52

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Solution

The fourth proportional to 1,339.68, 1,848.24 and 815.52 is: 1,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.68 : 1,848.24 = 815.52 : x
  2. Step 2: Convert to fraction form
    1,339.68/1,848.24 = 815.52/x
  3. Step 3: Cross multiply
    1,339.68x = 1,848.24 × 815.52
  4. Step 4: Simplify right side
    1,339.68x = 1,507,276.68
  5. Step 5: Solve for x
    x = 1,507,276.68/1,339.68
  6. Step 6: Final answer
    x = 1,125.10

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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.