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Finding the Fourth Proportional to 1,973.94, 2,948.94 and 1,274.91

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Solution

The fourth proportional to 1,973.94, 2,948.94 and 1,274.91 is: 1,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.94 : 2,948.94 = 1,274.91 : x
  2. Step 2: Convert to fraction form
    1,973.94/2,948.94 = 1,274.91/x
  3. Step 3: Cross multiply
    1,973.94x = 2,948.94 × 1,274.91
  4. Step 4: Simplify right side
    1,973.94x = 3,759,633.10
  5. Step 5: Solve for x
    x = 3,759,633.10/1,973.94
  6. Step 6: Final answer
    x = 1,904.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.