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Finding the Fourth Proportional to 1,765.32, 2,648.10 and 610.68

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Solution

The fourth proportional to 1,765.32, 2,648.10 and 610.68 is: 916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.32 : 2,648.10 = 610.68 : x
  2. Step 2: Convert to fraction form
    1,765.32/2,648.10 = 610.68/x
  3. Step 3: Cross multiply
    1,765.32x = 2,648.10 × 610.68
  4. Step 4: Simplify right side
    1,765.32x = 1,617,141.71
  5. Step 5: Solve for x
    x = 1,617,141.71/1,765.32
  6. Step 6: Final answer
    x = 916.06

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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.