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Finding the Fourth Proportional to 2,104.98, 3,152.57 and 1,870.53

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Solution

The fourth proportional to 2,104.98, 3,152.57 and 1,870.53 is: 2,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.98 : 3,152.57 = 1,870.53 : x
  2. Step 2: Convert to fraction form
    2,104.98/3,152.57 = 1,870.53/x
  3. Step 3: Cross multiply
    2,104.98x = 3,152.57 × 1,870.53
  4. Step 4: Simplify right side
    2,104.98x = 5,896,967.41
  5. Step 5: Solve for x
    x = 5,896,967.41/2,104.98
  6. Step 6: Final answer
    x = 2,801.44

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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.