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Finding the Fourth Proportional to 1,685.95, 2,326.53 and 1,057.12

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Solution

The fourth proportional to 1,685.95, 2,326.53 and 1,057.12 is: 1,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.95 : 2,326.53 = 1,057.12 : x
  2. Step 2: Convert to fraction form
    1,685.95/2,326.53 = 1,057.12/x
  3. Step 3: Cross multiply
    1,685.95x = 2,326.53 × 1,057.12
  4. Step 4: Simplify right side
    1,685.95x = 2,459,421.39
  5. Step 5: Solve for x
    x = 2,459,421.39/1,685.95
  6. Step 6: Final answer
    x = 1,458.77

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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.