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Finding the Fourth Proportional to 1,717.78, 2,370.43 and 971.77

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Solution

The fourth proportional to 1,717.78, 2,370.43 and 971.77 is: 1,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.78 : 2,370.43 = 971.77 : x
  2. Step 2: Convert to fraction form
    1,717.78/2,370.43 = 971.77/x
  3. Step 3: Cross multiply
    1,717.78x = 2,370.43 × 971.77
  4. Step 4: Simplify right side
    1,717.78x = 2,303,512.76
  5. Step 5: Solve for x
    x = 2,303,512.76/1,717.78
  6. Step 6: Final answer
    x = 1,340.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.