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Finding the Fourth Proportional to 1,345.76, 1,854.42 and 972.08

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Solution

The fourth proportional to 1,345.76, 1,854.42 and 972.08 is: 1,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.76 : 1,854.42 = 972.08 : x
  2. Step 2: Convert to fraction form
    1,345.76/1,854.42 = 972.08/x
  3. Step 3: Cross multiply
    1,345.76x = 1,854.42 × 972.08
  4. Step 4: Simplify right side
    1,345.76x = 1,802,644.59
  5. Step 5: Solve for x
    x = 1,802,644.59/1,345.76
  6. Step 6: Final answer
    x = 1,339.50

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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.