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Finding the Fourth Proportional to 2,762.10, 4,143.15 and 1,031.40

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Solution

The fourth proportional to 2,762.10, 4,143.15 and 1,031.40 is: 1,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.10 : 4,143.15 = 1,031.40 : x
  2. Step 2: Convert to fraction form
    2,762.10/4,143.15 = 1,031.40/x
  3. Step 3: Cross multiply
    2,762.10x = 4,143.15 × 1,031.40
  4. Step 4: Simplify right side
    2,762.10x = 4,273,244.91
  5. Step 5: Solve for x
    x = 4,273,244.91/2,762.10
  6. Step 6: Final answer
    x = 1,547.10

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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.