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Finding the Fourth Proportional to 1,953.79, 2,925.18 and 1,221.14

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Solution

The fourth proportional to 1,953.79, 2,925.18 and 1,221.14 is: 1,828.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.79 : 2,925.18 = 1,221.14 : x
  2. Step 2: Convert to fraction form
    1,953.79/2,925.18 = 1,221.14/x
  3. Step 3: Cross multiply
    1,953.79x = 2,925.18 × 1,221.14
  4. Step 4: Simplify right side
    1,953.79x = 3,572,061.62
  5. Step 5: Solve for x
    x = 3,572,061.62/1,953.79
  6. Step 6: Final answer
    x = 1,828.28

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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.