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Finding the Fourth Proportional to 1,911.06, 2,866.35 and 870.75

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Solution

The fourth proportional to 1,911.06, 2,866.35 and 870.75 is: 1,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.06 : 2,866.35 = 870.75 : x
  2. Step 2: Convert to fraction form
    1,911.06/2,866.35 = 870.75/x
  3. Step 3: Cross multiply
    1,911.06x = 2,866.35 × 870.75
  4. Step 4: Simplify right side
    1,911.06x = 2,495,874.26
  5. Step 5: Solve for x
    x = 2,495,874.26/1,911.06
  6. Step 6: Final answer
    x = 1,306.02

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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.