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Finding the Fourth Proportional to 2,848.35, 4,265.07 and 2,290.08

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Solution

The fourth proportional to 2,848.35, 4,265.07 and 2,290.08 is: 3,429.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.35 : 4,265.07 = 2,290.08 : x
  2. Step 2: Convert to fraction form
    2,848.35/4,265.07 = 2,290.08/x
  3. Step 3: Cross multiply
    2,848.35x = 4,265.07 × 2,290.08
  4. Step 4: Simplify right side
    2,848.35x = 9,767,351.51
  5. Step 5: Solve for x
    x = 9,767,351.51/2,848.35
  6. Step 6: Final answer
    x = 3,429.13

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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.