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Finding the Fourth Proportional to 2,125.60, 3,188.40 and 2,023

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Solution

The fourth proportional to 2,125.60, 3,188.40 and 2,023 is: 3,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.60 : 3,188.40 = 2,023 : x
  2. Step 2: Convert to fraction form
    2,125.60/3,188.40 = 2,023/x
  3. Step 3: Cross multiply
    2,125.60x = 3,188.40 × 2,023
  4. Step 4: Simplify right side
    2,125.60x = 6,450,133.20
  5. Step 5: Solve for x
    x = 6,450,133.20/2,125.60
  6. Step 6: Final answer
    x = 3,034.50

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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.