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Finding the Fourth Proportional to 2,124.74, 2,933.13 and 1,417.76

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Solution

The fourth proportional to 2,124.74, 2,933.13 and 1,417.76 is: 1,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.74 : 2,933.13 = 1,417.76 : x
  2. Step 2: Convert to fraction form
    2,124.74/2,933.13 = 1,417.76/x
  3. Step 3: Cross multiply
    2,124.74x = 2,933.13 × 1,417.76
  4. Step 4: Simplify right side
    2,124.74x = 4,158,474.39
  5. Step 5: Solve for x
    x = 4,158,474.39/2,124.74
  6. Step 6: Final answer
    x = 1,957.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.