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Finding the Fourth Proportional to 2,298.93, 3,430.73 and 2,052.88

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Solution

The fourth proportional to 2,298.93, 3,430.73 and 2,052.88 is: 3,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.93 : 3,430.73 = 2,052.88 : x
  2. Step 2: Convert to fraction form
    2,298.93/3,430.73 = 2,052.88/x
  3. Step 3: Cross multiply
    2,298.93x = 3,430.73 × 2,052.88
  4. Step 4: Simplify right side
    2,298.93x = 7,042,877.00
  5. Step 5: Solve for x
    x = 7,042,877.00/2,298.93
  6. Step 6: Final answer
    x = 3,063.55

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