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Finding the Fourth Proportional to 1,445.40, 2,158.20 and 1,251

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Solution

The fourth proportional to 1,445.40, 2,158.20 and 1,251 is: 1,867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.40 : 2,158.20 = 1,251 : x
  2. Step 2: Convert to fraction form
    1,445.40/2,158.20 = 1,251/x
  3. Step 3: Cross multiply
    1,445.40x = 2,158.20 × 1,251
  4. Step 4: Simplify right side
    1,445.40x = 2,699,908.20
  5. Step 5: Solve for x
    x = 2,699,908.20/1,445.40
  6. Step 6: Final answer
    x = 1,867.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.