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Finding the Fourth Proportional to 2,697.23, 4,045.85 and 848.51

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Solution

The fourth proportional to 2,697.23, 4,045.85 and 848.51 is: 1,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.23 : 4,045.85 = 848.51 : x
  2. Step 2: Convert to fraction form
    2,697.23/4,045.85 = 848.51/x
  3. Step 3: Cross multiply
    2,697.23x = 4,045.85 × 848.51
  4. Step 4: Simplify right side
    2,697.23x = 3,432,919.71
  5. Step 5: Solve for x
    x = 3,432,919.71/2,697.23
  6. Step 6: Final answer
    x = 1,272.76

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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.