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Finding the Fourth Proportional to 1,890.42, 2,606.70 and 1,293

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Solution

The fourth proportional to 1,890.42, 2,606.70 and 1,293 is: 1,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.42 : 2,606.70 = 1,293 : x
  2. Step 2: Convert to fraction form
    1,890.42/2,606.70 = 1,293/x
  3. Step 3: Cross multiply
    1,890.42x = 2,606.70 × 1,293
  4. Step 4: Simplify right side
    1,890.42x = 3,370,463.10
  5. Step 5: Solve for x
    x = 3,370,463.10/1,890.42
  6. Step 6: Final answer
    x = 1,782.92

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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.