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Finding the Fourth Proportional to 2,570.74, 3,543.90 and 1,685.00

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Solution

The fourth proportional to 2,570.74, 3,543.90 and 1,685.00 is: 2,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.74 : 3,543.90 = 1,685.00 : x
  2. Step 2: Convert to fraction form
    2,570.74/3,543.90 = 1,685.00/x
  3. Step 3: Cross multiply
    2,570.74x = 3,543.90 × 1,685.00
  4. Step 4: Simplify right side
    2,570.74x = 5,971,480.36
  5. Step 5: Solve for x
    x = 5,971,480.36/2,570.74
  6. Step 6: Final answer
    x = 2,322.87

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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.