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Finding the Fourth Proportional to 2,648.44, 3,657 and 2,368.18

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Solution

The fourth proportional to 2,648.44, 3,657 and 2,368.18 is: 3,270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.44 : 3,657 = 2,368.18 : x
  2. Step 2: Convert to fraction form
    2,648.44/3,657 = 2,368.18/x
  3. Step 3: Cross multiply
    2,648.44x = 3,657 × 2,368.18
  4. Step 4: Simplify right side
    2,648.44x = 8,660,434.26
  5. Step 5: Solve for x
    x = 8,660,434.26/2,648.44
  6. Step 6: Final answer
    x = 3,270.01

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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.