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Finding the Fourth Proportional to 2,875.64, 3,968.80 and 2,026.22

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Solution

The fourth proportional to 2,875.64, 3,968.80 and 2,026.22 is: 2,796.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.64 : 3,968.80 = 2,026.22 : x
  2. Step 2: Convert to fraction form
    2,875.64/3,968.80 = 2,026.22/x
  3. Step 3: Cross multiply
    2,875.64x = 3,968.80 × 2,026.22
  4. Step 4: Simplify right side
    2,875.64x = 8,041,637.03
  5. Step 5: Solve for x
    x = 8,041,637.03/2,875.64
  6. Step 6: Final answer
    x = 2,796.47

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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.