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Finding the Fourth Proportional to 1,635.15, 2,454.48 and 904.53

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Solution

The fourth proportional to 1,635.15, 2,454.48 and 904.53 is: 1,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.15 : 2,454.48 = 904.53 : x
  2. Step 2: Convert to fraction form
    1,635.15/2,454.48 = 904.53/x
  3. Step 3: Cross multiply
    1,635.15x = 2,454.48 × 904.53
  4. Step 4: Simplify right side
    1,635.15x = 2,220,150.79
  5. Step 5: Solve for x
    x = 2,220,150.79/1,635.15
  6. Step 6: Final answer
    x = 1,357.77

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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.