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Finding the Fourth Proportional to 1,756.35, 2,423.79 and 970.38

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Solution

The fourth proportional to 1,756.35, 2,423.79 and 970.38 is: 1,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.35 : 2,423.79 = 970.38 : x
  2. Step 2: Convert to fraction form
    1,756.35/2,423.79 = 970.38/x
  3. Step 3: Cross multiply
    1,756.35x = 2,423.79 × 970.38
  4. Step 4: Simplify right side
    1,756.35x = 2,351,997.34
  5. Step 5: Solve for x
    x = 2,351,997.34/1,756.35
  6. Step 6: Final answer
    x = 1,339.14

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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.