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Finding the Fourth Proportional to 1,468.11, 2,026.95 and 971.58

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Solution

The fourth proportional to 1,468.11, 2,026.95 and 971.58 is: 1,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.11 : 2,026.95 = 971.58 : x
  2. Step 2: Convert to fraction form
    1,468.11/2,026.95 = 971.58/x
  3. Step 3: Cross multiply
    1,468.11x = 2,026.95 × 971.58
  4. Step 4: Simplify right side
    1,468.11x = 1,969,344.08
  5. Step 5: Solve for x
    x = 1,969,344.08/1,468.11
  6. Step 6: Final answer
    x = 1,341.41

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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.