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Finding the Fourth Proportional to 1,518.47, 2,276.48 and 940.13

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Solution

The fourth proportional to 1,518.47, 2,276.48 and 940.13 is: 1,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.47 : 2,276.48 = 940.13 : x
  2. Step 2: Convert to fraction form
    1,518.47/2,276.48 = 940.13/x
  3. Step 3: Cross multiply
    1,518.47x = 2,276.48 × 940.13
  4. Step 4: Simplify right side
    1,518.47x = 2,140,178.11
  5. Step 5: Solve for x
    x = 2,140,178.11/1,518.47
  6. Step 6: Final answer
    x = 1,409.44

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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.