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Finding the Fourth Proportional to 1,468.35, 2,026.65 and 971.06

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Solution

The fourth proportional to 1,468.35, 2,026.65 and 971.06 is: 1,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.35 : 2,026.65 = 971.06 : x
  2. Step 2: Convert to fraction form
    1,468.35/2,026.65 = 971.06/x
  3. Step 3: Cross multiply
    1,468.35x = 2,026.65 × 971.06
  4. Step 4: Simplify right side
    1,468.35x = 1,967,998.75
  5. Step 5: Solve for x
    x = 1,967,998.75/1,468.35
  6. Step 6: Final answer
    x = 1,340.28

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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.