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Finding the Fourth Proportional to 1,714.75, 2,366.36 and 928.80

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Solution

The fourth proportional to 1,714.75, 2,366.36 and 928.80 is: 1,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.75 : 2,366.36 = 928.80 : x
  2. Step 2: Convert to fraction form
    1,714.75/2,366.36 = 928.80/x
  3. Step 3: Cross multiply
    1,714.75x = 2,366.36 × 928.80
  4. Step 4: Simplify right side
    1,714.75x = 2,197,875.17
  5. Step 5: Solve for x
    x = 2,197,875.17/1,714.75
  6. Step 6: Final answer
    x = 1,281.75

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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.