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Finding the Fourth Proportional to 2,595.09, 3,890.16 and 862.50

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Solution

The fourth proportional to 2,595.09, 3,890.16 and 862.50 is: 1,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.09 : 3,890.16 = 862.50 : x
  2. Step 2: Convert to fraction form
    2,595.09/3,890.16 = 862.50/x
  3. Step 3: Cross multiply
    2,595.09x = 3,890.16 × 862.50
  4. Step 4: Simplify right side
    2,595.09x = 3,355,263
  5. Step 5: Solve for x
    x = 3,355,263/2,595.09
  6. Step 6: Final answer
    x = 1,292.93

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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.