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Finding the Fourth Proportional to 1,714.42, 2,365.91 and 928.46

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Solution

The fourth proportional to 1,714.42, 2,365.91 and 928.46 is: 1,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.42 : 2,365.91 = 928.46 : x
  2. Step 2: Convert to fraction form
    1,714.42/2,365.91 = 928.46/x
  3. Step 3: Cross multiply
    1,714.42x = 2,365.91 × 928.46
  4. Step 4: Simplify right side
    1,714.42x = 2,196,648.16
  5. Step 5: Solve for x
    x = 2,196,648.16/1,714.42
  6. Step 6: Final answer
    x = 1,281.28

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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.