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Finding the Fourth Proportional to 1,357.60, 1,871.72 and 1,339.24

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Solution

The fourth proportional to 1,357.60, 1,871.72 and 1,339.24 is: 1,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.60 : 1,871.72 = 1,339.24 : x
  2. Step 2: Convert to fraction form
    1,357.60/1,871.72 = 1,339.24/x
  3. Step 3: Cross multiply
    1,357.60x = 1,871.72 × 1,339.24
  4. Step 4: Simplify right side
    1,357.60x = 2,506,682.29
  5. Step 5: Solve for x
    x = 2,506,682.29/1,357.60
  6. Step 6: Final answer
    x = 1,846.41

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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.