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Finding the Fourth Proportional to 2,046.23, 3,068.63 and 584.99

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Solution

The fourth proportional to 2,046.23, 3,068.63 and 584.99 is: 877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.23 : 3,068.63 = 584.99 : x
  2. Step 2: Convert to fraction form
    2,046.23/3,068.63 = 584.99/x
  3. Step 3: Cross multiply
    2,046.23x = 3,068.63 × 584.99
  4. Step 4: Simplify right side
    2,046.23x = 1,795,117.86
  5. Step 5: Solve for x
    x = 1,795,117.86/2,046.23
  6. Step 6: Final answer
    x = 877.28

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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.