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Finding the Fourth Proportional to 2,055.61, 3,083.42 and 594.76

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Solution

The fourth proportional to 2,055.61, 3,083.42 and 594.76 is: 892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.61 : 3,083.42 = 594.76 : x
  2. Step 2: Convert to fraction form
    2,055.61/3,083.42 = 594.76/x
  3. Step 3: Cross multiply
    2,055.61x = 3,083.42 × 594.76
  4. Step 4: Simplify right side
    2,055.61x = 1,833,895.76
  5. Step 5: Solve for x
    x = 1,833,895.76/2,055.61
  6. Step 6: Final answer
    x = 892.14

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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.