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Finding the Fourth Proportional to 2,047.12, 3,070.15 and 585.93

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Solution

The fourth proportional to 2,047.12, 3,070.15 and 585.93 is: 878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.12 : 3,070.15 = 585.93 : x
  2. Step 2: Convert to fraction form
    2,047.12/3,070.15 = 585.93/x
  3. Step 3: Cross multiply
    2,047.12x = 3,070.15 × 585.93
  4. Step 4: Simplify right side
    2,047.12x = 1,798,890.06
  5. Step 5: Solve for x
    x = 1,798,890.06/2,047.12
  6. Step 6: Final answer
    x = 878.74

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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.