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Finding the Fourth Proportional to 2,047.13, 3,070.17 and 585.94

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Solution

The fourth proportional to 2,047.13, 3,070.17 and 585.94 is: 878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.13 : 3,070.17 = 585.94 : x
  2. Step 2: Convert to fraction form
    2,047.13/3,070.17 = 585.94/x
  3. Step 3: Cross multiply
    2,047.13x = 3,070.17 × 585.94
  4. Step 4: Simplify right side
    2,047.13x = 1,798,943.36
  5. Step 5: Solve for x
    x = 1,798,943.36/2,047.13
  6. Step 6: Final answer
    x = 878.76

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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.