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Finding the Fourth Proportional to 2,643.48, 3,646.35 and 2,118.60

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Solution

The fourth proportional to 2,643.48, 3,646.35 and 2,118.60 is: 2,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.48 : 3,646.35 = 2,118.60 : x
  2. Step 2: Convert to fraction form
    2,643.48/3,646.35 = 2,118.60/x
  3. Step 3: Cross multiply
    2,643.48x = 3,646.35 × 2,118.60
  4. Step 4: Simplify right side
    2,643.48x = 7,725,157.11
  5. Step 5: Solve for x
    x = 7,725,157.11/2,643.48
  6. Step 6: Final answer
    x = 2,922.34

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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.