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Finding the Fourth Proportional to 2,102.77, 3,152.53 and 1,280.89

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Solution

The fourth proportional to 2,102.77, 3,152.53 and 1,280.89 is: 1,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.77 : 3,152.53 = 1,280.89 : x
  2. Step 2: Convert to fraction form
    2,102.77/3,152.53 = 1,280.89/x
  3. Step 3: Cross multiply
    2,102.77x = 3,152.53 × 1,280.89
  4. Step 4: Simplify right side
    2,102.77x = 4,038,044.15
  5. Step 5: Solve for x
    x = 4,038,044.15/2,102.77
  6. Step 6: Final answer
    x = 1,920.35

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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.