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Finding the Fourth Proportional to 1,953.60, 2,695.94 and 1,167.50

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Solution

The fourth proportional to 1,953.60, 2,695.94 and 1,167.50 is: 1,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.60 : 2,695.94 = 1,167.50 : x
  2. Step 2: Convert to fraction form
    1,953.60/2,695.94 = 1,167.50/x
  3. Step 3: Cross multiply
    1,953.60x = 2,695.94 × 1,167.50
  4. Step 4: Simplify right side
    1,953.60x = 3,147,509.95
  5. Step 5: Solve for x
    x = 3,147,509.95/1,953.60
  6. Step 6: Final answer
    x = 1,611.13

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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.