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Finding the Fourth Proportional to 1,242.89, 1,854.18 and 1,154.51

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Solution

The fourth proportional to 1,242.89, 1,854.18 and 1,154.51 is: 1,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.89 : 1,854.18 = 1,154.51 : x
  2. Step 2: Convert to fraction form
    1,242.89/1,854.18 = 1,154.51/x
  3. Step 3: Cross multiply
    1,242.89x = 1,854.18 × 1,154.51
  4. Step 4: Simplify right side
    1,242.89x = 2,140,669.35
  5. Step 5: Solve for x
    x = 2,140,669.35/1,242.89
  6. Step 6: Final answer
    x = 1,722.33

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