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Finding the Fourth Proportional to 2,019.72, 2,788.59 and 1,488.67

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Solution

The fourth proportional to 2,019.72, 2,788.59 and 1,488.67 is: 2,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.72 : 2,788.59 = 1,488.67 : x
  2. Step 2: Convert to fraction form
    2,019.72/2,788.59 = 1,488.67/x
  3. Step 3: Cross multiply
    2,019.72x = 2,788.59 × 1,488.67
  4. Step 4: Simplify right side
    2,019.72x = 4,151,290.28
  5. Step 5: Solve for x
    x = 4,151,290.28/2,019.72
  6. Step 6: Final answer
    x = 2,055.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.