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Finding the Fourth Proportional to 1,415.37, 2,124.02 and 865.87

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Solution

The fourth proportional to 1,415.37, 2,124.02 and 865.87 is: 1,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.37 : 2,124.02 = 865.87 : x
  2. Step 2: Convert to fraction form
    1,415.37/2,124.02 = 865.87/x
  3. Step 3: Cross multiply
    1,415.37x = 2,124.02 × 865.87
  4. Step 4: Simplify right side
    1,415.37x = 1,839,125.20
  5. Step 5: Solve for x
    x = 1,839,125.20/1,415.37
  6. Step 6: Final answer
    x = 1,299.40

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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.