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Finding the Fourth Proportional to 1,943.41, 2,915.06 and 1,119.13

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Solution

The fourth proportional to 1,943.41, 2,915.06 and 1,119.13 is: 1,678.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.41 : 2,915.06 = 1,119.13 : x
  2. Step 2: Convert to fraction form
    1,943.41/2,915.06 = 1,119.13/x
  3. Step 3: Cross multiply
    1,943.41x = 2,915.06 × 1,119.13
  4. Step 4: Simplify right side
    1,943.41x = 3,262,325.50
  5. Step 5: Solve for x
    x = 3,262,325.50/1,943.41
  6. Step 6: Final answer
    x = 1,678.66

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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.