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Finding the Fourth Proportional to 2,274.48, 3,417.12 and 1,454.76

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Solution

The fourth proportional to 2,274.48, 3,417.12 and 1,454.76 is: 2,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.48 : 3,417.12 = 1,454.76 : x
  2. Step 2: Convert to fraction form
    2,274.48/3,417.12 = 1,454.76/x
  3. Step 3: Cross multiply
    2,274.48x = 3,417.12 × 1,454.76
  4. Step 4: Simplify right side
    2,274.48x = 4,971,089.49
  5. Step 5: Solve for x
    x = 4,971,089.49/2,274.48
  6. Step 6: Final answer
    x = 2,185.59

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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.