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Finding the Fourth Proportional to 2,903.13, 4,007.34 and 1,785.96

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Solution

The fourth proportional to 2,903.13, 4,007.34 and 1,785.96 is: 2,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.13 : 4,007.34 = 1,785.96 : x
  2. Step 2: Convert to fraction form
    2,903.13/4,007.34 = 1,785.96/x
  3. Step 3: Cross multiply
    2,903.13x = 4,007.34 × 1,785.96
  4. Step 4: Simplify right side
    2,903.13x = 7,156,948.95
  5. Step 5: Solve for x
    x = 7,156,948.95/2,903.13
  6. Step 6: Final answer
    x = 2,465.25

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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.