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Finding the Fourth Proportional to 2,463.40, 3,695.37 and 904.15

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Solution

The fourth proportional to 2,463.40, 3,695.37 and 904.15 is: 1,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.40 : 3,695.37 = 904.15 : x
  2. Step 2: Convert to fraction form
    2,463.40/3,695.37 = 904.15/x
  3. Step 3: Cross multiply
    2,463.40x = 3,695.37 × 904.15
  4. Step 4: Simplify right side
    2,463.40x = 3,341,168.79
  5. Step 5: Solve for x
    x = 3,341,168.79/2,463.40
  6. Step 6: Final answer
    x = 1,356.32

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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.