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Finding the Fourth Proportional to 2,048.13, 3,071.77 and 586.96

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Solution

The fourth proportional to 2,048.13, 3,071.77 and 586.96 is: 880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.13 : 3,071.77 = 586.96 : x
  2. Step 2: Convert to fraction form
    2,048.13/3,071.77 = 586.96/x
  3. Step 3: Cross multiply
    2,048.13x = 3,071.77 × 586.96
  4. Step 4: Simplify right side
    2,048.13x = 1,803,006.12
  5. Step 5: Solve for x
    x = 1,803,006.12/2,048.13
  6. Step 6: Final answer
    x = 880.32

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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.