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Finding the Fourth Proportional to 2,073, 2,860.74 and 1,141.50

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Solution

The fourth proportional to 2,073, 2,860.74 and 1,141.50 is: 1,575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073 : 2,860.74 = 1,141.50 : x
  2. Step 2: Convert to fraction form
    2,073/2,860.74 = 1,141.50/x
  3. Step 3: Cross multiply
    2,073x = 2,860.74 × 1,141.50
  4. Step 4: Simplify right side
    2,073x = 3,265,534.71
  5. Step 5: Solve for x
    x = 3,265,534.71/2,073
  6. Step 6: Final answer
    x = 1,575.27

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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.