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Finding the Fourth Proportional to 1,527.40, 2,276.69 and 1,383.40

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Solution

The fourth proportional to 1,527.40, 2,276.69 and 1,383.40 is: 2,062.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.40 : 2,276.69 = 1,383.40 : x
  2. Step 2: Convert to fraction form
    1,527.40/2,276.69 = 1,383.40/x
  3. Step 3: Cross multiply
    1,527.40x = 2,276.69 × 1,383.40
  4. Step 4: Simplify right side
    1,527.40x = 3,149,572.95
  5. Step 5: Solve for x
    x = 3,149,572.95/1,527.40
  6. Step 6: Final answer
    x = 2,062.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.