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Finding the Fourth Proportional to 1,821.47, 2,733.12 and 847.40

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Solution

The fourth proportional to 1,821.47, 2,733.12 and 847.40 is: 1,271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.47 : 2,733.12 = 847.40 : x
  2. Step 2: Convert to fraction form
    1,821.47/2,733.12 = 847.40/x
  3. Step 3: Cross multiply
    1,821.47x = 2,733.12 × 847.40
  4. Step 4: Simplify right side
    1,821.47x = 2,316,032.22
  5. Step 5: Solve for x
    x = 2,316,032.22/1,821.47
  6. Step 6: Final answer
    x = 1,271.52

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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.