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Finding the Fourth Proportional to 1,703.30, 2,557.65 and 1,244.30

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Solution

The fourth proportional to 1,703.30, 2,557.65 and 1,244.30 is: 1,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.30 : 2,557.65 = 1,244.30 : x
  2. Step 2: Convert to fraction form
    1,703.30/2,557.65 = 1,244.30/x
  3. Step 3: Cross multiply
    1,703.30x = 2,557.65 × 1,244.30
  4. Step 4: Simplify right side
    1,703.30x = 3,182,483.90
  5. Step 5: Solve for x
    x = 3,182,483.90/1,703.30
  6. Step 6: Final answer
    x = 1,868.42

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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.