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Finding the Fourth Proportional to 2,357.85, 3,527.04 and 2,144.01

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Solution

The fourth proportional to 2,357.85, 3,527.04 and 2,144.01 is: 3,207.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.85 : 3,527.04 = 2,144.01 : x
  2. Step 2: Convert to fraction form
    2,357.85/3,527.04 = 2,144.01/x
  3. Step 3: Cross multiply
    2,357.85x = 3,527.04 × 2,144.01
  4. Step 4: Simplify right side
    2,357.85x = 7,562,009.03
  5. Step 5: Solve for x
    x = 7,562,009.03/2,357.85
  6. Step 6: Final answer
    x = 3,207.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.