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Finding the Fourth Proportional to 1,415.48, 2,124.56 and 868.72

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Solution

The fourth proportional to 1,415.48, 2,124.56 and 868.72 is: 1,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.48 : 2,124.56 = 868.72 : x
  2. Step 2: Convert to fraction form
    1,415.48/2,124.56 = 868.72/x
  3. Step 3: Cross multiply
    1,415.48x = 2,124.56 × 868.72
  4. Step 4: Simplify right side
    1,415.48x = 1,845,647.76
  5. Step 5: Solve for x
    x = 1,845,647.76/1,415.48
  6. Step 6: Final answer
    x = 1,303.90

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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.