Home / 1,527.14-2,289.93-649.30

Finding the Fourth Proportional to 1,527.14, 2,289.93 and 649.30

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Solution

The fourth proportional to 1,527.14, 2,289.93 and 649.30 is: 973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.14 : 2,289.93 = 649.30 : x
  2. Step 2: Convert to fraction form
    1,527.14/2,289.93 = 649.30/x
  3. Step 3: Cross multiply
    1,527.14x = 2,289.93 × 649.30
  4. Step 4: Simplify right side
    1,527.14x = 1,486,851.55
  5. Step 5: Solve for x
    x = 1,486,851.55/1,527.14
  6. Step 6: Final answer
    x = 973.62

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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.