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Finding the Fourth Proportional to 1,770.32, 2,444.10 and 1,246.88

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Solution

The fourth proportional to 1,770.32, 2,444.10 and 1,246.88 is: 1,721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.32 : 2,444.10 = 1,246.88 : x
  2. Step 2: Convert to fraction form
    1,770.32/2,444.10 = 1,246.88/x
  3. Step 3: Cross multiply
    1,770.32x = 2,444.10 × 1,246.88
  4. Step 4: Simplify right side
    1,770.32x = 3,047,499.41
  5. Step 5: Solve for x
    x = 3,047,499.41/1,770.32
  6. Step 6: Final answer
    x = 1,721.44

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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.