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Finding the Fourth Proportional to 2,021.40, 3,031.48 and 788.72

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Solution

The fourth proportional to 2,021.40, 3,031.48 and 788.72 is: 1,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.40 : 3,031.48 = 788.72 : x
  2. Step 2: Convert to fraction form
    2,021.40/3,031.48 = 788.72/x
  3. Step 3: Cross multiply
    2,021.40x = 3,031.48 × 788.72
  4. Step 4: Simplify right side
    2,021.40x = 2,390,988.91
  5. Step 5: Solve for x
    x = 2,390,988.91/2,021.40
  6. Step 6: Final answer
    x = 1,182.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.