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Finding the Fourth Proportional to 2,532.44, 3,798.93 and 973.76

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Solution

The fourth proportional to 2,532.44, 3,798.93 and 973.76 is: 1,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.44 : 3,798.93 = 973.76 : x
  2. Step 2: Convert to fraction form
    2,532.44/3,798.93 = 973.76/x
  3. Step 3: Cross multiply
    2,532.44x = 3,798.93 × 973.76
  4. Step 4: Simplify right side
    2,532.44x = 3,699,255.57
  5. Step 5: Solve for x
    x = 3,699,255.57/2,532.44
  6. Step 6: Final answer
    x = 1,460.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.