Home / 1,717.40-2,369.85-971.42

Finding the Fourth Proportional to 1,717.40, 2,369.85 and 971.42

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Solution

The fourth proportional to 1,717.40, 2,369.85 and 971.42 is: 1,340.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.40 : 2,369.85 = 971.42 : x
  2. Step 2: Convert to fraction form
    1,717.40/2,369.85 = 971.42/x
  3. Step 3: Cross multiply
    1,717.40x = 2,369.85 × 971.42
  4. Step 4: Simplify right side
    1,717.40x = 2,302,119.69
  5. Step 5: Solve for x
    x = 2,302,119.69/1,717.40
  6. Step 6: Final answer
    x = 1,340.47

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1.5x scale

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.