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Finding the Fourth Proportional to 2,561.84, 3,534.70 and 1,566.74

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Solution

The fourth proportional to 2,561.84, 3,534.70 and 1,566.74 is: 2,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.84 : 3,534.70 = 1,566.74 : x
  2. Step 2: Convert to fraction form
    2,561.84/3,534.70 = 1,566.74/x
  3. Step 3: Cross multiply
    2,561.84x = 3,534.70 × 1,566.74
  4. Step 4: Simplify right side
    2,561.84x = 5,537,955.88
  5. Step 5: Solve for x
    x = 5,537,955.88/2,561.84
  6. Step 6: Final answer
    x = 2,161.71

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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.