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Finding the Fourth Proportional to 1,714.19, 2,365.57 and 928.23

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Solution

The fourth proportional to 1,714.19, 2,365.57 and 928.23 is: 1,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.19 : 2,365.57 = 928.23 : x
  2. Step 2: Convert to fraction form
    1,714.19/2,365.57 = 928.23/x
  3. Step 3: Cross multiply
    1,714.19x = 2,365.57 × 928.23
  4. Step 4: Simplify right side
    1,714.19x = 2,195,793.04
  5. Step 5: Solve for x
    x = 2,195,793.04/1,714.19
  6. Step 6: Final answer
    x = 1,280.95

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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.