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Finding the Fourth Proportional to 2,457.88, 3,684.84 and 813.40

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Solution

The fourth proportional to 2,457.88, 3,684.84 and 813.40 is: 1,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.88 : 3,684.84 = 813.40 : x
  2. Step 2: Convert to fraction form
    2,457.88/3,684.84 = 813.40/x
  3. Step 3: Cross multiply
    2,457.88x = 3,684.84 × 813.40
  4. Step 4: Simplify right side
    2,457.88x = 2,997,248.86
  5. Step 5: Solve for x
    x = 2,997,248.86/2,457.88
  6. Step 6: Final answer
    x = 1,219.44

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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.