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Finding the Fourth Proportional to 1,493.85, 2,061.54 and 904.26

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Solution

The fourth proportional to 1,493.85, 2,061.54 and 904.26 is: 1,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.85 : 2,061.54 = 904.26 : x
  2. Step 2: Convert to fraction form
    1,493.85/2,061.54 = 904.26/x
  3. Step 3: Cross multiply
    1,493.85x = 2,061.54 × 904.26
  4. Step 4: Simplify right side
    1,493.85x = 1,864,168.16
  5. Step 5: Solve for x
    x = 1,864,168.16/1,493.85
  6. Step 6: Final answer
    x = 1,247.90

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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.