Home / 1,468.20-2,026.99-971.26

Finding the Fourth Proportional to 1,468.20, 2,026.99 and 971.26

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Solution

The fourth proportional to 1,468.20, 2,026.99 and 971.26 is: 1,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.20 : 2,026.99 = 971.26 : x
  2. Step 2: Convert to fraction form
    1,468.20/2,026.99 = 971.26/x
  3. Step 3: Cross multiply
    1,468.20x = 2,026.99 × 971.26
  4. Step 4: Simplify right side
    1,468.20x = 1,968,734.41
  5. Step 5: Solve for x
    x = 1,968,734.41/1,468.20
  6. Step 6: Final answer
    x = 1,340.92

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1.5x scale

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.