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Finding the Fourth Proportional to 1,574.08, 2,361.12 and 649.24

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Solution

The fourth proportional to 1,574.08, 2,361.12 and 649.24 is: 973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.08 : 2,361.12 = 649.24 : x
  2. Step 2: Convert to fraction form
    1,574.08/2,361.12 = 649.24/x
  3. Step 3: Cross multiply
    1,574.08x = 2,361.12 × 649.24
  4. Step 4: Simplify right side
    1,574.08x = 1,532,933.55
  5. Step 5: Solve for x
    x = 1,532,933.55/1,574.08
  6. Step 6: Final answer
    x = 973.86

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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.