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Finding the Fourth Proportional to 2,658.48, 3,664.89 and 1,870.08

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Solution

The fourth proportional to 2,658.48, 3,664.89 and 1,870.08 is: 2,578.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.48 : 3,664.89 = 1,870.08 : x
  2. Step 2: Convert to fraction form
    2,658.48/3,664.89 = 1,870.08/x
  3. Step 3: Cross multiply
    2,658.48x = 3,664.89 × 1,870.08
  4. Step 4: Simplify right side
    2,658.48x = 6,853,630.76
  5. Step 5: Solve for x
    x = 6,853,630.76/2,658.48
  6. Step 6: Final answer
    x = 2,578.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.