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Finding the Fourth Proportional to 2,142, 2,953.94 and 1,396.53

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Solution

The fourth proportional to 2,142, 2,953.94 and 1,396.53 is: 1,925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 2,953.94 = 1,396.53 : x
  2. Step 2: Convert to fraction form
    2,142/2,953.94 = 1,396.53/x
  3. Step 3: Cross multiply
    2,142x = 2,953.94 × 1,396.53
  4. Step 4: Simplify right side
    2,142x = 4,125,258.85
  5. Step 5: Solve for x
    x = 4,125,258.85/2,142
  6. Step 6: Final answer
    x = 1,925.89

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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.