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Finding the Fourth Proportional to 2,513.18, 3,768.40 and 869.59

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Solution

The fourth proportional to 2,513.18, 3,768.40 and 869.59 is: 1,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.18 : 3,768.40 = 869.59 : x
  2. Step 2: Convert to fraction form
    2,513.18/3,768.40 = 869.59/x
  3. Step 3: Cross multiply
    2,513.18x = 3,768.40 × 869.59
  4. Step 4: Simplify right side
    2,513.18x = 3,276,962.96
  5. Step 5: Solve for x
    x = 3,276,962.96/2,513.18
  6. Step 6: Final answer
    x = 1,303.91

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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.