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Finding the Fourth Proportional to 1,500.73, 2,070.98 and 837.56

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Solution

The fourth proportional to 1,500.73, 2,070.98 and 837.56 is: 1,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.73 : 2,070.98 = 837.56 : x
  2. Step 2: Convert to fraction form
    1,500.73/2,070.98 = 837.56/x
  3. Step 3: Cross multiply
    1,500.73x = 2,070.98 × 837.56
  4. Step 4: Simplify right side
    1,500.73x = 1,734,571.00
  5. Step 5: Solve for x
    x = 1,734,571.00/1,500.73
  6. Step 6: Final answer
    x = 1,155.82

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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.