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Finding the Fourth Proportional to 1,749.58, 2,624.16 and 824.96

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Solution

The fourth proportional to 1,749.58, 2,624.16 and 824.96 is: 1,237.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.58 : 2,624.16 = 824.96 : x
  2. Step 2: Convert to fraction form
    1,749.58/2,624.16 = 824.96/x
  3. Step 3: Cross multiply
    1,749.58x = 2,624.16 × 824.96
  4. Step 4: Simplify right side
    1,749.58x = 2,164,827.03
  5. Step 5: Solve for x
    x = 2,164,827.03/1,749.58
  6. Step 6: Final answer
    x = 1,237.34

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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.