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Finding the Fourth Proportional to 2,903.90, 4,005.32 and 1,785.47

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Solution

The fourth proportional to 2,903.90, 4,005.32 and 1,785.47 is: 2,462.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.90 : 4,005.32 = 1,785.47 : x
  2. Step 2: Convert to fraction form
    2,903.90/4,005.32 = 1,785.47/x
  3. Step 3: Cross multiply
    2,903.90x = 4,005.32 × 1,785.47
  4. Step 4: Simplify right side
    2,903.90x = 7,151,363.14
  5. Step 5: Solve for x
    x = 7,151,363.14/2,903.90
  6. Step 6: Final answer
    x = 2,462.68

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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.