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Finding the Fourth Proportional to 1,515.93, 2,272.95 and 649.50

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Solution

The fourth proportional to 1,515.93, 2,272.95 and 649.50 is: 973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.93 : 2,272.95 = 649.50 : x
  2. Step 2: Convert to fraction form
    1,515.93/2,272.95 = 649.50/x
  3. Step 3: Cross multiply
    1,515.93x = 2,272.95 × 649.50
  4. Step 4: Simplify right side
    1,515.93x = 1,476,281.03
  5. Step 5: Solve for x
    x = 1,476,281.03/1,515.93
  6. Step 6: Final answer
    x = 973.85

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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.