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Finding the Fourth Proportional to 1,876.64, 2,812.79 and 1,009.13

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Solution

The fourth proportional to 1,876.64, 2,812.79 and 1,009.13 is: 1,512.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.64 : 2,812.79 = 1,009.13 : x
  2. Step 2: Convert to fraction form
    1,876.64/2,812.79 = 1,009.13/x
  3. Step 3: Cross multiply
    1,876.64x = 2,812.79 × 1,009.13
  4. Step 4: Simplify right side
    1,876.64x = 2,838,459.23
  5. Step 5: Solve for x
    x = 2,838,459.23/1,876.64
  6. Step 6: Final answer
    x = 1,512.53

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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.