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Finding the Fourth Proportional to 2,931.87, 4,046 and 1,605.58

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Solution

The fourth proportional to 2,931.87, 4,046 and 1,605.58 is: 2,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.87 : 4,046 = 1,605.58 : x
  2. Step 2: Convert to fraction form
    2,931.87/4,046 = 1,605.58/x
  3. Step 3: Cross multiply
    2,931.87x = 4,046 × 1,605.58
  4. Step 4: Simplify right side
    2,931.87x = 6,496,176.68
  5. Step 5: Solve for x
    x = 6,496,176.68/2,931.87
  6. Step 6: Final answer
    x = 2,215.71

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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.