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Finding the Fourth Proportional to 1,955.46, 2,698.50 and 1,159.32

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Solution

The fourth proportional to 1,955.46, 2,698.50 and 1,159.32 is: 1,599.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.46 : 2,698.50 = 1,159.32 : x
  2. Step 2: Convert to fraction form
    1,955.46/2,698.50 = 1,159.32/x
  3. Step 3: Cross multiply
    1,955.46x = 2,698.50 × 1,159.32
  4. Step 4: Simplify right side
    1,955.46x = 3,128,425.02
  5. Step 5: Solve for x
    x = 3,128,425.02/1,955.46
  6. Step 6: Final answer
    x = 1,599.84

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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.