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Finding the Fourth Proportional to 2,362.60, 3,526.84 and 2,071

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Solution

The fourth proportional to 2,362.60, 3,526.84 and 2,071 is: 3,091.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.60 : 3,526.84 = 2,071 : x
  2. Step 2: Convert to fraction form
    2,362.60/3,526.84 = 2,071/x
  3. Step 3: Cross multiply
    2,362.60x = 3,526.84 × 2,071
  4. Step 4: Simplify right side
    2,362.60x = 7,304,085.64
  5. Step 5: Solve for x
    x = 7,304,085.64/2,362.60
  6. Step 6: Final answer
    x = 3,091.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.