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Finding the Fourth Proportional to 1,693.95, 2,338.66 and 1,065.02

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Solution

The fourth proportional to 1,693.95, 2,338.66 and 1,065.02 is: 1,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.95 : 2,338.66 = 1,065.02 : x
  2. Step 2: Convert to fraction form
    1,693.95/2,338.66 = 1,065.02/x
  3. Step 3: Cross multiply
    1,693.95x = 2,338.66 × 1,065.02
  4. Step 4: Simplify right side
    1,693.95x = 2,490,719.67
  5. Step 5: Solve for x
    x = 2,490,719.67/1,693.95
  6. Step 6: Final answer
    x = 1,470.36

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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.