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Finding the Fourth Proportional to 1,714.08, 2,565.02 and 1,346.34

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Solution

The fourth proportional to 1,714.08, 2,565.02 and 1,346.34 is: 2,014.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.08 : 2,565.02 = 1,346.34 : x
  2. Step 2: Convert to fraction form
    1,714.08/2,565.02 = 1,346.34/x
  3. Step 3: Cross multiply
    1,714.08x = 2,565.02 × 1,346.34
  4. Step 4: Simplify right side
    1,714.08x = 3,453,389.03
  5. Step 5: Solve for x
    x = 3,453,389.03/1,714.08
  6. Step 6: Final answer
    x = 2,014.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.