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Finding the Fourth Proportional to 1,714.32, 2,359.44 and 1,461.60

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Solution

The fourth proportional to 1,714.32, 2,359.44 and 1,461.60 is: 2,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.32 : 2,359.44 = 1,461.60 : x
  2. Step 2: Convert to fraction form
    1,714.32/2,359.44 = 1,461.60/x
  3. Step 3: Cross multiply
    1,714.32x = 2,359.44 × 1,461.60
  4. Step 4: Simplify right side
    1,714.32x = 3,448,557.50
  5. Step 5: Solve for x
    x = 3,448,557.50/1,714.32
  6. Step 6: Final answer
    x = 2,011.62

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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.