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Finding the Fourth Proportional to 2,365, 3,264.12 and 1,526.74

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Solution

The fourth proportional to 2,365, 3,264.12 and 1,526.74 is: 2,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365 : 3,264.12 = 1,526.74 : x
  2. Step 2: Convert to fraction form
    2,365/3,264.12 = 1,526.74/x
  3. Step 3: Cross multiply
    2,365x = 3,264.12 × 1,526.74
  4. Step 4: Simplify right side
    2,365x = 4,983,462.57
  5. Step 5: Solve for x
    x = 4,983,462.57/2,365
  6. Step 6: Final answer
    x = 2,107.17

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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.