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Finding the Fourth Proportional to 2,124.55, 2,928.79 and 1,534.15

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Solution

The fourth proportional to 2,124.55, 2,928.79 and 1,534.15 is: 2,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.55 : 2,928.79 = 1,534.15 : x
  2. Step 2: Convert to fraction form
    2,124.55/2,928.79 = 1,534.15/x
  3. Step 3: Cross multiply
    2,124.55x = 2,928.79 × 1,534.15
  4. Step 4: Simplify right side
    2,124.55x = 4,493,203.18
  5. Step 5: Solve for x
    x = 4,493,203.18/2,124.55
  6. Step 6: Final answer
    x = 2,114.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.