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Finding the Fourth Proportional to 2,988.76, 4,483.40 and 797.50

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Solution

The fourth proportional to 2,988.76, 4,483.40 and 797.50 is: 1,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988.76 : 4,483.40 = 797.50 : x
  2. Step 2: Convert to fraction form
    2,988.76/4,483.40 = 797.50/x
  3. Step 3: Cross multiply
    2,988.76x = 4,483.40 × 797.50
  4. Step 4: Simplify right side
    2,988.76x = 3,575,511.50
  5. Step 5: Solve for x
    x = 3,575,511.50/2,988.76
  6. Step 6: Final answer
    x = 1,196.32

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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.