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Finding the Fourth Proportional to 2,652.56, 3,653.06 and 2,206.40

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Solution

The fourth proportional to 2,652.56, 3,653.06 and 2,206.40 is: 3,038.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.56 : 3,653.06 = 2,206.40 : x
  2. Step 2: Convert to fraction form
    2,652.56/3,653.06 = 2,206.40/x
  3. Step 3: Cross multiply
    2,652.56x = 3,653.06 × 2,206.40
  4. Step 4: Simplify right side
    2,652.56x = 8,060,111.58
  5. Step 5: Solve for x
    x = 8,060,111.58/2,652.56
  6. Step 6: Final answer
    x = 3,038.62

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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.