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Finding the Fourth Proportional to 1,770.16, 2,652.38 and 1,250.40

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Solution

The fourth proportional to 1,770.16, 2,652.38 and 1,250.40 is: 1,873.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.16 : 2,652.38 = 1,250.40 : x
  2. Step 2: Convert to fraction form
    1,770.16/2,652.38 = 1,250.40/x
  3. Step 3: Cross multiply
    1,770.16x = 2,652.38 × 1,250.40
  4. Step 4: Simplify right side
    1,770.16x = 3,316,535.95
  5. Step 5: Solve for x
    x = 3,316,535.95/1,770.16
  6. Step 6: Final answer
    x = 1,873.58

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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.