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Finding the Fourth Proportional to 2,424.41, 3,642.77 and 1,547.34

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Solution

The fourth proportional to 2,424.41, 3,642.77 and 1,547.34 is: 2,324.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.41 : 3,642.77 = 1,547.34 : x
  2. Step 2: Convert to fraction form
    2,424.41/3,642.77 = 1,547.34/x
  3. Step 3: Cross multiply
    2,424.41x = 3,642.77 × 1,547.34
  4. Step 4: Simplify right side
    2,424.41x = 5,636,593.94
  5. Step 5: Solve for x
    x = 5,636,593.94/2,424.41
  6. Step 6: Final answer
    x = 2,324.93

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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.