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Finding the Fourth Proportional to 1,773.50, 2,448.04 and 1,074.88

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Solution

The fourth proportional to 1,773.50, 2,448.04 and 1,074.88 is: 1,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.50 : 2,448.04 = 1,074.88 : x
  2. Step 2: Convert to fraction form
    1,773.50/2,448.04 = 1,074.88/x
  3. Step 3: Cross multiply
    1,773.50x = 2,448.04 × 1,074.88
  4. Step 4: Simplify right side
    1,773.50x = 2,631,337.00
  5. Step 5: Solve for x
    x = 2,631,337.00/1,773.50
  6. Step 6: Final answer
    x = 1,483.70

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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.