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Finding the Fourth Proportional to 1,714.32, 2,360.04 and 1,635.96

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Solution

The fourth proportional to 1,714.32, 2,360.04 and 1,635.96 is: 2,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.32 : 2,360.04 = 1,635.96 : x
  2. Step 2: Convert to fraction form
    1,714.32/2,360.04 = 1,635.96/x
  3. Step 3: Cross multiply
    1,714.32x = 2,360.04 × 1,635.96
  4. Step 4: Simplify right side
    1,714.32x = 3,860,931.04
  5. Step 5: Solve for x
    x = 3,860,931.04/1,714.32
  6. Step 6: Final answer
    x = 2,252.16

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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.