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Finding the Fourth Proportional to 1,955.70, 2,699.76 and 1,159.15

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Solution

The fourth proportional to 1,955.70, 2,699.76 and 1,159.15 is: 1,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.70 : 2,699.76 = 1,159.15 : x
  2. Step 2: Convert to fraction form
    1,955.70/2,699.76 = 1,159.15/x
  3. Step 3: Cross multiply
    1,955.70x = 2,699.76 × 1,159.15
  4. Step 4: Simplify right side
    1,955.70x = 3,129,426.80
  5. Step 5: Solve for x
    x = 3,129,426.80/1,955.70
  6. Step 6: Final answer
    x = 1,600.16

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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.