Home / 1,526.90-2,290.94-649.59

Finding the Fourth Proportional to 1,526.90, 2,290.94 and 649.59

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Solution

The fourth proportional to 1,526.90, 2,290.94 and 649.59 is: 974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.90 : 2,290.94 = 649.59 : x
  2. Step 2: Convert to fraction form
    1,526.90/2,290.94 = 649.59/x
  3. Step 3: Cross multiply
    1,526.90x = 2,290.94 × 649.59
  4. Step 4: Simplify right side
    1,526.90x = 1,488,168.47
  5. Step 5: Solve for x
    x = 1,488,168.47/1,526.90
  6. Step 6: Final answer
    x = 974.64

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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.