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Finding the Fourth Proportional to 7,182.84, 10,773.04 and 1,987.50

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Solution

The fourth proportional to 7,182.84, 10,773.04 and 1,987.50 is: 2,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.84 : 10,773.04 = 1,987.50 : x
  2. Step 2: Convert to fraction form
    7,182.84/10,773.04 = 1,987.50/x
  3. Step 3: Cross multiply
    7,182.84x = 10,773.04 × 1,987.50
  4. Step 4: Simplify right side
    7,182.84x = 21,411,417
  5. Step 5: Solve for x
    x = 21,411,417/7,182.84
  6. Step 6: Final answer
    x = 2,980.91

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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.