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Finding the Fourth Proportional to 1,561.71, 2,153.08 and 1,063.53

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Solution

The fourth proportional to 1,561.71, 2,153.08 and 1,063.53 is: 1,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.71 : 2,153.08 = 1,063.53 : x
  2. Step 2: Convert to fraction form
    1,561.71/2,153.08 = 1,063.53/x
  3. Step 3: Cross multiply
    1,561.71x = 2,153.08 × 1,063.53
  4. Step 4: Simplify right side
    1,561.71x = 2,289,866.50
  5. Step 5: Solve for x
    x = 2,289,866.50/1,561.71
  6. Step 6: Final answer
    x = 1,466.25

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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.