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Finding the Fourth Proportional to 2,397.68, 3,309.48 and 1,699.28

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Solution

The fourth proportional to 2,397.68, 3,309.48 and 1,699.28 is: 2,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.68 : 3,309.48 = 1,699.28 : x
  2. Step 2: Convert to fraction form
    2,397.68/3,309.48 = 1,699.28/x
  3. Step 3: Cross multiply
    2,397.68x = 3,309.48 × 1,699.28
  4. Step 4: Simplify right side
    2,397.68x = 5,623,733.17
  5. Step 5: Solve for x
    x = 5,623,733.17/2,397.68
  6. Step 6: Final answer
    x = 2,345.49

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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.