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Finding the Fourth Proportional to 1,247.77, 1,875.08 and 1,166.50

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Solution

The fourth proportional to 1,247.77, 1,875.08 and 1,166.50 is: 1,752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.77 : 1,875.08 = 1,166.50 : x
  2. Step 2: Convert to fraction form
    1,247.77/1,875.08 = 1,166.50/x
  3. Step 3: Cross multiply
    1,247.77x = 1,875.08 × 1,166.50
  4. Step 4: Simplify right side
    1,247.77x = 2,187,280.82
  5. Step 5: Solve for x
    x = 2,187,280.82/1,247.77
  6. Step 6: Final answer
    x = 1,752.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.