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Finding the Fourth Proportional to 1,743.69, 2,600.16 and 1,501.77

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Solution

The fourth proportional to 1,743.69, 2,600.16 and 1,501.77 is: 2,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.69 : 2,600.16 = 1,501.77 : x
  2. Step 2: Convert to fraction form
    1,743.69/2,600.16 = 1,501.77/x
  3. Step 3: Cross multiply
    1,743.69x = 2,600.16 × 1,501.77
  4. Step 4: Simplify right side
    1,743.69x = 3,904,834.77
  5. Step 5: Solve for x
    x = 3,904,834.77/1,743.69
  6. Step 6: Final answer
    x = 2,239.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.