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Finding the Fourth Proportional to 2,044.79, 3,064.47 and 745.01

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Solution

The fourth proportional to 2,044.79, 3,064.47 and 745.01 is: 1,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.79 : 3,064.47 = 745.01 : x
  2. Step 2: Convert to fraction form
    2,044.79/3,064.47 = 745.01/x
  3. Step 3: Cross multiply
    2,044.79x = 3,064.47 × 745.01
  4. Step 4: Simplify right side
    2,044.79x = 2,283,045.47
  5. Step 5: Solve for x
    x = 2,283,045.47/2,044.79
  6. Step 6: Final answer
    x = 1,116.52

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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.