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Finding the Fourth Proportional to 2,303.58, 3,454.04 and 1,574.04

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Solution

The fourth proportional to 2,303.58, 3,454.04 and 1,574.04 is: 2,360.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.58 : 3,454.04 = 1,574.04 : x
  2. Step 2: Convert to fraction form
    2,303.58/3,454.04 = 1,574.04/x
  3. Step 3: Cross multiply
    2,303.58x = 3,454.04 × 1,574.04
  4. Step 4: Simplify right side
    2,303.58x = 5,436,797.12
  5. Step 5: Solve for x
    x = 5,436,797.12/2,303.58
  6. Step 6: Final answer
    x = 2,360.15

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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.