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Finding the Fourth Proportional to 1,476.81, 2,215.18 and 1,281.50

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Solution

The fourth proportional to 1,476.81, 2,215.18 and 1,281.50 is: 1,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.81 : 2,215.18 = 1,281.50 : x
  2. Step 2: Convert to fraction form
    1,476.81/2,215.18 = 1,281.50/x
  3. Step 3: Cross multiply
    1,476.81x = 2,215.18 × 1,281.50
  4. Step 4: Simplify right side
    1,476.81x = 2,838,752.00
  5. Step 5: Solve for x
    x = 2,838,752.00/1,476.81
  6. Step 6: Final answer
    x = 1,922.22

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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.