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Finding the Fourth Proportional to 2,698.50, 3,723.93 and 1,870.98

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Solution

The fourth proportional to 2,698.50, 3,723.93 and 1,870.98 is: 2,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.50 : 3,723.93 = 1,870.98 : x
  2. Step 2: Convert to fraction form
    2,698.50/3,723.93 = 1,870.98/x
  3. Step 3: Cross multiply
    2,698.50x = 3,723.93 × 1,870.98
  4. Step 4: Simplify right side
    2,698.50x = 6,967,398.55
  5. Step 5: Solve for x
    x = 6,967,398.55/2,698.50
  6. Step 6: Final answer
    x = 2,581.95

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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.