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Finding the Fourth Proportional to 2,862.34, 4,293.50 and 1,888.20

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Solution

The fourth proportional to 2,862.34, 4,293.50 and 1,888.20 is: 2,832.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.34 : 4,293.50 = 1,888.20 : x
  2. Step 2: Convert to fraction form
    2,862.34/4,293.50 = 1,888.20/x
  3. Step 3: Cross multiply
    2,862.34x = 4,293.50 × 1,888.20
  4. Step 4: Simplify right side
    2,862.34x = 8,106,977.26
  5. Step 5: Solve for x
    x = 8,106,977.26/2,862.34
  6. Step 6: Final answer
    x = 2,832.29

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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.