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Finding the Fourth Proportional to 2,465.28, 3,696.80 and 904.89

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Solution

The fourth proportional to 2,465.28, 3,696.80 and 904.89 is: 1,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.28 : 3,696.80 = 904.89 : x
  2. Step 2: Convert to fraction form
    2,465.28/3,696.80 = 904.89/x
  3. Step 3: Cross multiply
    2,465.28x = 3,696.80 × 904.89
  4. Step 4: Simplify right side
    2,465.28x = 3,345,192.83
  5. Step 5: Solve for x
    x = 3,345,192.83/2,465.28
  6. Step 6: Final answer
    x = 1,356.92

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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.