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Finding the Fourth Proportional to 1,756.36, 2,423.79 and 970.39

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Solution

The fourth proportional to 1,756.36, 2,423.79 and 970.39 is: 1,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.36 : 2,423.79 = 970.39 : x
  2. Step 2: Convert to fraction form
    1,756.36/2,423.79 = 970.39/x
  3. Step 3: Cross multiply
    1,756.36x = 2,423.79 × 970.39
  4. Step 4: Simplify right side
    1,756.36x = 2,352,021.58
  5. Step 5: Solve for x
    x = 2,352,021.58/1,756.36
  6. Step 6: Final answer
    x = 1,339.15

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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.