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Finding the Fourth Proportional to 1,943.51, 2,914.27 and 710.60

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Solution

The fourth proportional to 1,943.51, 2,914.27 and 710.60 is: 1,065.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.51 : 2,914.27 = 710.60 : x
  2. Step 2: Convert to fraction form
    1,943.51/2,914.27 = 710.60/x
  3. Step 3: Cross multiply
    1,943.51x = 2,914.27 × 710.60
  4. Step 4: Simplify right side
    1,943.51x = 2,070,863.91
  5. Step 5: Solve for x
    x = 2,070,863.91/1,943.51
  6. Step 6: Final answer
    x = 1,065.53

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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.