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Finding the Fourth Proportional to 2,048.12, 3,071.64 and 586.93

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Solution

The fourth proportional to 2,048.12, 3,071.64 and 586.93 is: 880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.12 : 3,071.64 = 586.93 : x
  2. Step 2: Convert to fraction form
    2,048.12/3,071.64 = 586.93/x
  3. Step 3: Cross multiply
    2,048.12x = 3,071.64 × 586.93
  4. Step 4: Simplify right side
    2,048.12x = 1,802,837.67
  5. Step 5: Solve for x
    x = 1,802,837.67/2,048.12
  6. Step 6: Final answer
    x = 880.24

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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.