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Finding the Fourth Proportional to 2,988.42, 4,483.08 and 1,040.22

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Solution

The fourth proportional to 2,988.42, 4,483.08 and 1,040.22 is: 1,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.42 : 4,483.08 = 1,040.22 : x
  2. Step 2: Convert to fraction form
    2,988.42/4,483.08 = 1,040.22/x
  3. Step 3: Cross multiply
    2,988.42x = 4,483.08 × 1,040.22
  4. Step 4: Simplify right side
    2,988.42x = 4,663,389.48
  5. Step 5: Solve for x
    x = 4,663,389.48/2,988.42
  6. Step 6: Final answer
    x = 1,560.49

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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.