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Finding the Fourth Proportional to 2,341.81, 3,512.47 and 610.43

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Solution

The fourth proportional to 2,341.81, 3,512.47 and 610.43 is: 915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.81 : 3,512.47 = 610.43 : x
  2. Step 2: Convert to fraction form
    2,341.81/3,512.47 = 610.43/x
  3. Step 3: Cross multiply
    2,341.81x = 3,512.47 × 610.43
  4. Step 4: Simplify right side
    2,341.81x = 2,144,117.06
  5. Step 5: Solve for x
    x = 2,144,117.06/2,341.81
  6. Step 6: Final answer
    x = 915.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.