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Finding the Fourth Proportional to 2,762, 4,143.20 and 1,030.63

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Solution

The fourth proportional to 2,762, 4,143.20 and 1,030.63 is: 1,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762 : 4,143.20 = 1,030.63 : x
  2. Step 2: Convert to fraction form
    2,762/4,143.20 = 1,030.63/x
  3. Step 3: Cross multiply
    2,762x = 4,143.20 × 1,030.63
  4. Step 4: Simplify right side
    2,762x = 4,270,088.08
  5. Step 5: Solve for x
    x = 4,270,088.08/2,762
  6. Step 6: Final answer
    x = 1,546.01

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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.