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Finding the Fourth Proportional to 1,922.92, 2,653.18 and 1,502.53

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Solution

The fourth proportional to 1,922.92, 2,653.18 and 1,502.53 is: 2,073.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.92 : 2,653.18 = 1,502.53 : x
  2. Step 2: Convert to fraction form
    1,922.92/2,653.18 = 1,502.53/x
  3. Step 3: Cross multiply
    1,922.92x = 2,653.18 × 1,502.53
  4. Step 4: Simplify right side
    1,922.92x = 3,986,482.55
  5. Step 5: Solve for x
    x = 3,986,482.55/1,922.92
  6. Step 6: Final answer
    x = 2,073.14

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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.