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Finding the Fourth Proportional to 1,390.95, 2,073.23 and 1,285.62

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Solution

The fourth proportional to 1,390.95, 2,073.23 and 1,285.62 is: 1,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.95 : 2,073.23 = 1,285.62 : x
  2. Step 2: Convert to fraction form
    1,390.95/2,073.23 = 1,285.62/x
  3. Step 3: Cross multiply
    1,390.95x = 2,073.23 × 1,285.62
  4. Step 4: Simplify right side
    1,390.95x = 2,665,379.52
  5. Step 5: Solve for x
    x = 2,665,379.52/1,390.95
  6. Step 6: Final answer
    x = 1,916.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.