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Finding the Fourth Proportional to 1,953.74, 2,931.42 and 912.98

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Solution

The fourth proportional to 1,953.74, 2,931.42 and 912.98 is: 1,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.74 : 2,931.42 = 912.98 : x
  2. Step 2: Convert to fraction form
    1,953.74/2,931.42 = 912.98/x
  3. Step 3: Cross multiply
    1,953.74x = 2,931.42 × 912.98
  4. Step 4: Simplify right side
    1,953.74x = 2,676,327.83
  5. Step 5: Solve for x
    x = 2,676,327.83/1,953.74
  6. Step 6: Final answer
    x = 1,369.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.