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Finding the Fourth Proportional to 1,803.78, 2,488.46 and 1,139.45

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Solution

The fourth proportional to 1,803.78, 2,488.46 and 1,139.45 is: 1,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.78 : 2,488.46 = 1,139.45 : x
  2. Step 2: Convert to fraction form
    1,803.78/2,488.46 = 1,139.45/x
  3. Step 3: Cross multiply
    1,803.78x = 2,488.46 × 1,139.45
  4. Step 4: Simplify right side
    1,803.78x = 2,835,457.61
  5. Step 5: Solve for x
    x = 2,835,457.61/1,803.78
  6. Step 6: Final answer
    x = 1,571.95

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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.