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Finding the Fourth Proportional to 1,756.54, 2,424 and 970.57

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Solution

The fourth proportional to 1,756.54, 2,424 and 970.57 is: 1,339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.54 : 2,424 = 970.57 : x
  2. Step 2: Convert to fraction form
    1,756.54/2,424 = 970.57/x
  3. Step 3: Cross multiply
    1,756.54x = 2,424 × 970.57
  4. Step 4: Simplify right side
    1,756.54x = 2,352,661.68
  5. Step 5: Solve for x
    x = 2,352,661.68/1,756.54
  6. Step 6: Final answer
    x = 1,339.37

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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.