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Finding the Fourth Proportional to 1,574.42, 2,361.32 and 753.68

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Solution

The fourth proportional to 1,574.42, 2,361.32 and 753.68 is: 1,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.42 : 2,361.32 = 753.68 : x
  2. Step 2: Convert to fraction form
    1,574.42/2,361.32 = 753.68/x
  3. Step 3: Cross multiply
    1,574.42x = 2,361.32 × 753.68
  4. Step 4: Simplify right side
    1,574.42x = 1,779,684.62
  5. Step 5: Solve for x
    x = 1,779,684.62/1,574.42
  6. Step 6: Final answer
    x = 1,130.38

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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.