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Finding the Fourth Proportional to 1,966.32, 2,714.52 and 1,859.12

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Solution

The fourth proportional to 1,966.32, 2,714.52 and 1,859.12 is: 2,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.32 : 2,714.52 = 1,859.12 : x
  2. Step 2: Convert to fraction form
    1,966.32/2,714.52 = 1,859.12/x
  3. Step 3: Cross multiply
    1,966.32x = 2,714.52 × 1,859.12
  4. Step 4: Simplify right side
    1,966.32x = 5,046,618.42
  5. Step 5: Solve for x
    x = 5,046,618.42/1,966.32
  6. Step 6: Final answer
    x = 2,566.53

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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.