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Finding the Fourth Proportional to 2,886.10, 4,329.11 and 1,652.63

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Solution

The fourth proportional to 2,886.10, 4,329.11 and 1,652.63 is: 2,478.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.10 : 4,329.11 = 1,652.63 : x
  2. Step 2: Convert to fraction form
    2,886.10/4,329.11 = 1,652.63/x
  3. Step 3: Cross multiply
    2,886.10x = 4,329.11 × 1,652.63
  4. Step 4: Simplify right side
    2,886.10x = 7,154,399.55
  5. Step 5: Solve for x
    x = 7,154,399.55/2,886.10
  6. Step 6: Final answer
    x = 2,478.92

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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.