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Finding the Fourth Proportional to 2,465.10, 3,695.35 and 904.73

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Solution

The fourth proportional to 2,465.10, 3,695.35 and 904.73 is: 1,356.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.10 : 3,695.35 = 904.73 : x
  2. Step 2: Convert to fraction form
    2,465.10/3,695.35 = 904.73/x
  3. Step 3: Cross multiply
    2,465.10x = 3,695.35 × 904.73
  4. Step 4: Simplify right side
    2,465.10x = 3,343,294.01
  5. Step 5: Solve for x
    x = 3,343,294.01/2,465.10
  6. Step 6: Final answer
    x = 1,356.25

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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.