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Finding the Fourth Proportional to 2,513.40, 3,768.76 and 869.52

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Solution

The fourth proportional to 2,513.40, 3,768.76 and 869.52 is: 1,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.40 : 3,768.76 = 869.52 : x
  2. Step 2: Convert to fraction form
    2,513.40/3,768.76 = 869.52/x
  3. Step 3: Cross multiply
    2,513.40x = 3,768.76 × 869.52
  4. Step 4: Simplify right side
    2,513.40x = 3,277,012.20
  5. Step 5: Solve for x
    x = 3,277,012.20/2,513.40
  6. Step 6: Final answer
    x = 1,303.82

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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.