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Finding the Fourth Proportional to 1,829.79, 2,741.04 and 852.93

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Solution

The fourth proportional to 1,829.79, 2,741.04 and 852.93 is: 1,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.79 : 2,741.04 = 852.93 : x
  2. Step 2: Convert to fraction form
    1,829.79/2,741.04 = 852.93/x
  3. Step 3: Cross multiply
    1,829.79x = 2,741.04 × 852.93
  4. Step 4: Simplify right side
    1,829.79x = 2,337,915.25
  5. Step 5: Solve for x
    x = 2,337,915.25/1,829.79
  6. Step 6: Final answer
    x = 1,277.70

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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.