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Finding the Fourth Proportional to 1,418.64, 2,130.12 and 1,237.20

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Solution

The fourth proportional to 1,418.64, 2,130.12 and 1,237.20 is: 1,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.64 : 2,130.12 = 1,237.20 : x
  2. Step 2: Convert to fraction form
    1,418.64/2,130.12 = 1,237.20/x
  3. Step 3: Cross multiply
    1,418.64x = 2,130.12 × 1,237.20
  4. Step 4: Simplify right side
    1,418.64x = 2,635,384.46
  5. Step 5: Solve for x
    x = 2,635,384.46/1,418.64
  6. Step 6: Final answer
    x = 1,857.68

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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.