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Finding the Fourth Proportional to 1,468.90, 2,026.74 and 972.34

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Solution

The fourth proportional to 1,468.90, 2,026.74 and 972.34 is: 1,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.90 : 2,026.74 = 972.34 : x
  2. Step 2: Convert to fraction form
    1,468.90/2,026.74 = 972.34/x
  3. Step 3: Cross multiply
    1,468.90x = 2,026.74 × 972.34
  4. Step 4: Simplify right side
    1,468.90x = 1,970,680.37
  5. Step 5: Solve for x
    x = 1,970,680.37/1,468.90
  6. Step 6: Final answer
    x = 1,341.60

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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.