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Finding the Fourth Proportional to 2,036.71, 3,054.79 and 575.99

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Solution

The fourth proportional to 2,036.71, 3,054.79 and 575.99 is: 863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.71 : 3,054.79 = 575.99 : x
  2. Step 2: Convert to fraction form
    2,036.71/3,054.79 = 575.99/x
  3. Step 3: Cross multiply
    2,036.71x = 3,054.79 × 575.99
  4. Step 4: Simplify right side
    2,036.71x = 1,759,510.34
  5. Step 5: Solve for x
    x = 1,759,510.34/2,036.71
  6. Step 6: Final answer
    x = 863.90

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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.