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Finding the Fourth Proportional to 1,714.92, 2,365.72 and 1,084.38

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Solution

The fourth proportional to 1,714.92, 2,365.72 and 1,084.38 is: 1,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.92 : 2,365.72 = 1,084.38 : x
  2. Step 2: Convert to fraction form
    1,714.92/2,365.72 = 1,084.38/x
  3. Step 3: Cross multiply
    1,714.92x = 2,365.72 × 1,084.38
  4. Step 4: Simplify right side
    1,714.92x = 2,565,349.36
  5. Step 5: Solve for x
    x = 2,565,349.36/1,714.92
  6. Step 6: Final answer
    x = 1,495.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.