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Finding the Fourth Proportional to 2,045.87, 3,068.80 and 506.87

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Solution

The fourth proportional to 2,045.87, 3,068.80 and 506.87 is: 760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.87 : 3,068.80 = 506.87 : x
  2. Step 2: Convert to fraction form
    2,045.87/3,068.80 = 506.87/x
  3. Step 3: Cross multiply
    2,045.87x = 3,068.80 × 506.87
  4. Step 4: Simplify right side
    2,045.87x = 1,555,466.04
  5. Step 5: Solve for x
    x = 1,555,466.04/2,045.87
  6. Step 6: Final answer
    x = 760.30

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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.