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Finding the Fourth Proportional to 1,673.69, 2,309.72 and 1,010.57

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Solution

The fourth proportional to 1,673.69, 2,309.72 and 1,010.57 is: 1,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.69 : 2,309.72 = 1,010.57 : x
  2. Step 2: Convert to fraction form
    1,673.69/2,309.72 = 1,010.57/x
  3. Step 3: Cross multiply
    1,673.69x = 2,309.72 × 1,010.57
  4. Step 4: Simplify right side
    1,673.69x = 2,334,117.14
  5. Step 5: Solve for x
    x = 2,334,117.14/1,673.69
  6. Step 6: Final answer
    x = 1,394.60

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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.