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Finding the Fourth Proportional to 1,803.40, 2,488.71 and 1,057.80

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Solution

The fourth proportional to 1,803.40, 2,488.71 and 1,057.80 is: 1,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.40 : 2,488.71 = 1,057.80 : x
  2. Step 2: Convert to fraction form
    1,803.40/2,488.71 = 1,057.80/x
  3. Step 3: Cross multiply
    1,803.40x = 2,488.71 × 1,057.80
  4. Step 4: Simplify right side
    1,803.40x = 2,632,557.44
  5. Step 5: Solve for x
    x = 2,632,557.44/1,803.40
  6. Step 6: Final answer
    x = 1,459.77

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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.