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Finding the Fourth Proportional to 2,319.99, 3,479.93 and 565.00

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Solution

The fourth proportional to 2,319.99, 3,479.93 and 565.00 is: 847.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.99 : 3,479.93 = 565.00 : x
  2. Step 2: Convert to fraction form
    2,319.99/3,479.93 = 565.00/x
  3. Step 3: Cross multiply
    2,319.99x = 3,479.93 × 565.00
  4. Step 4: Simplify right side
    2,319.99x = 1,966,162.42
  5. Step 5: Solve for x
    x = 1,966,162.42/2,319.99
  6. Step 6: Final answer
    x = 847.49

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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.