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Finding the Fourth Proportional to 2,048.40, 3,071.68 and 587.22

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Solution

The fourth proportional to 2,048.40, 3,071.68 and 587.22 is: 880.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.40 : 3,071.68 = 587.22 : x
  2. Step 2: Convert to fraction form
    2,048.40/3,071.68 = 587.22/x
  3. Step 3: Cross multiply
    2,048.40x = 3,071.68 × 587.22
  4. Step 4: Simplify right side
    2,048.40x = 1,803,751.93
  5. Step 5: Solve for x
    x = 1,803,751.93/2,048.40
  6. Step 6: Final answer
    x = 880.57

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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.