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Finding the Fourth Proportional to 1,574.10, 2,361.16 and 587.14

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Solution

The fourth proportional to 1,574.10, 2,361.16 and 587.14 is: 880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.10 : 2,361.16 = 587.14 : x
  2. Step 2: Convert to fraction form
    1,574.10/2,361.16 = 587.14/x
  3. Step 3: Cross multiply
    1,574.10x = 2,361.16 × 587.14
  4. Step 4: Simplify right side
    1,574.10x = 1,386,331.48
  5. Step 5: Solve for x
    x = 1,386,331.48/1,574.10
  6. Step 6: Final answer
    x = 880.71

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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.