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Finding the Fourth Proportional to 2,342.18, 3,513.94 and 783.20

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Solution

The fourth proportional to 2,342.18, 3,513.94 and 783.20 is: 1,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.18 : 3,513.94 = 783.20 : x
  2. Step 2: Convert to fraction form
    2,342.18/3,513.94 = 783.20/x
  3. Step 3: Cross multiply
    2,342.18x = 3,513.94 × 783.20
  4. Step 4: Simplify right side
    2,342.18x = 2,752,117.81
  5. Step 5: Solve for x
    x = 2,752,117.81/2,342.18
  6. Step 6: Final answer
    x = 1,175.02

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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.