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Finding the Fourth Proportional to 2,670.84, 3,685.98 and 1,675.80

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Solution

The fourth proportional to 2,670.84, 3,685.98 and 1,675.80 is: 2,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.84 : 3,685.98 = 1,675.80 : x
  2. Step 2: Convert to fraction form
    2,670.84/3,685.98 = 1,675.80/x
  3. Step 3: Cross multiply
    2,670.84x = 3,685.98 × 1,675.80
  4. Step 4: Simplify right side
    2,670.84x = 6,176,965.28
  5. Step 5: Solve for x
    x = 6,176,965.28/2,670.84
  6. Step 6: Final answer
    x = 2,312.74

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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.