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Finding the Fourth Proportional to 2,594.34, 3,580.12 and 1,415.40

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Solution

The fourth proportional to 2,594.34, 3,580.12 and 1,415.40 is: 1,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.34 : 3,580.12 = 1,415.40 : x
  2. Step 2: Convert to fraction form
    2,594.34/3,580.12 = 1,415.40/x
  3. Step 3: Cross multiply
    2,594.34x = 3,580.12 × 1,415.40
  4. Step 4: Simplify right side
    2,594.34x = 5,067,301.85
  5. Step 5: Solve for x
    x = 5,067,301.85/2,594.34
  6. Step 6: Final answer
    x = 1,953.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.