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Finding the Fourth Proportional to 2,911.47, 4,017.75 and 1,652.49

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Solution

The fourth proportional to 2,911.47, 4,017.75 and 1,652.49 is: 2,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.47 : 4,017.75 = 1,652.49 : x
  2. Step 2: Convert to fraction form
    2,911.47/4,017.75 = 1,652.49/x
  3. Step 3: Cross multiply
    2,911.47x = 4,017.75 × 1,652.49
  4. Step 4: Simplify right side
    2,911.47x = 6,639,291.70
  5. Step 5: Solve for x
    x = 6,639,291.70/2,911.47
  6. Step 6: Final answer
    x = 2,280.39

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Why These Related Problems?

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