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Finding the Fourth Proportional to 1,952.74, 2,929.64 and 703.46

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Solution

The fourth proportional to 1,952.74, 2,929.64 and 703.46 is: 1,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.74 : 2,929.64 = 703.46 : x
  2. Step 2: Convert to fraction form
    1,952.74/2,929.64 = 703.46/x
  3. Step 3: Cross multiply
    1,952.74x = 2,929.64 × 703.46
  4. Step 4: Simplify right side
    1,952.74x = 2,060,884.55
  5. Step 5: Solve for x
    x = 2,060,884.55/1,952.74
  6. Step 6: Final answer
    x = 1,055.38

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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.