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Finding the Fourth Proportional to 1,670.41, 2,505.62 and 695.83

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Solution

The fourth proportional to 1,670.41, 2,505.62 and 695.83 is: 1,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.41 : 2,505.62 = 695.83 : x
  2. Step 2: Convert to fraction form
    1,670.41/2,505.62 = 695.83/x
  3. Step 3: Cross multiply
    1,670.41x = 2,505.62 × 695.83
  4. Step 4: Simplify right side
    1,670.41x = 1,743,482.09
  5. Step 5: Solve for x
    x = 1,743,482.09/1,670.41
  6. Step 6: Final answer
    x = 1,043.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.