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Finding the Fourth Proportional to 2,046.48, 3,070.23 and 585.75

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Solution

The fourth proportional to 2,046.48, 3,070.23 and 585.75 is: 878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.48 : 3,070.23 = 585.75 : x
  2. Step 2: Convert to fraction form
    2,046.48/3,070.23 = 585.75/x
  3. Step 3: Cross multiply
    2,046.48x = 3,070.23 × 585.75
  4. Step 4: Simplify right side
    2,046.48x = 1,798,387.22
  5. Step 5: Solve for x
    x = 1,798,387.22/2,046.48
  6. Step 6: Final answer
    x = 878.77

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1.5x scale

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.