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Finding the Fourth Proportional to 1,823.75, 2,735.64 and 653.81

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Solution

The fourth proportional to 1,823.75, 2,735.64 and 653.81 is: 980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.75 : 2,735.64 = 653.81 : x
  2. Step 2: Convert to fraction form
    1,823.75/2,735.64 = 653.81/x
  3. Step 3: Cross multiply
    1,823.75x = 2,735.64 × 653.81
  4. Step 4: Simplify right side
    1,823.75x = 1,788,588.79
  5. Step 5: Solve for x
    x = 1,788,588.79/1,823.75
  6. Step 6: Final answer
    x = 980.72

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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.