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Finding the Fourth Proportional to 2,698.34, 4,048.08 and 1,528.89

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Solution

The fourth proportional to 2,698.34, 4,048.08 and 1,528.89 is: 2,293.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.34 : 4,048.08 = 1,528.89 : x
  2. Step 2: Convert to fraction form
    2,698.34/4,048.08 = 1,528.89/x
  3. Step 3: Cross multiply
    2,698.34x = 4,048.08 × 1,528.89
  4. Step 4: Simplify right side
    2,698.34x = 6,189,069.03
  5. Step 5: Solve for x
    x = 6,189,069.03/2,698.34
  6. Step 6: Final answer
    x = 2,293.66

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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.