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Finding the Fourth Proportional to 1,903.57, 2,852.98 and 1,023.89

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Solution

The fourth proportional to 1,903.57, 2,852.98 and 1,023.89 is: 1,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.57 : 2,852.98 = 1,023.89 : x
  2. Step 2: Convert to fraction form
    1,903.57/2,852.98 = 1,023.89/x
  3. Step 3: Cross multiply
    1,903.57x = 2,852.98 × 1,023.89
  4. Step 4: Simplify right side
    1,903.57x = 2,921,120.87
  5. Step 5: Solve for x
    x = 2,921,120.87/1,903.57
  6. Step 6: Final answer
    x = 1,534.55

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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.