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Finding the Fourth Proportional to 2,055.48, 3,083.76 and 594.74

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Solution

The fourth proportional to 2,055.48, 3,083.76 and 594.74 is: 892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.48 : 3,083.76 = 594.74 : x
  2. Step 2: Convert to fraction form
    2,055.48/3,083.76 = 594.74/x
  3. Step 3: Cross multiply
    2,055.48x = 3,083.76 × 594.74
  4. Step 4: Simplify right side
    2,055.48x = 1,834,035.42
  5. Step 5: Solve for x
    x = 1,834,035.42/2,055.48
  6. Step 6: Final answer
    x = 892.27

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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.