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Finding the Fourth Proportional to 2,041.81, 3,061.65 and 808.58

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Solution

The fourth proportional to 2,041.81, 3,061.65 and 808.58 is: 1,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.81 : 3,061.65 = 808.58 : x
  2. Step 2: Convert to fraction form
    2,041.81/3,061.65 = 808.58/x
  3. Step 3: Cross multiply
    2,041.81x = 3,061.65 × 808.58
  4. Step 4: Simplify right side
    2,041.81x = 2,475,595.10
  5. Step 5: Solve for x
    x = 2,475,595.10/2,041.81
  6. Step 6: Final answer
    x = 1,212.45

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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.