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Finding the Fourth Proportional to 1,870.53, 2,805.21 and 992.52

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Solution

The fourth proportional to 1,870.53, 2,805.21 and 992.52 is: 1,488.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.53 : 2,805.21 = 992.52 : x
  2. Step 2: Convert to fraction form
    1,870.53/2,805.21 = 992.52/x
  3. Step 3: Cross multiply
    1,870.53x = 2,805.21 × 992.52
  4. Step 4: Simplify right side
    1,870.53x = 2,784,227.03
  5. Step 5: Solve for x
    x = 2,784,227.03/1,870.53
  6. Step 6: Final answer
    x = 1,488.47

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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.