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Finding the Fourth Proportional to 2,059.60, 3,089.41 and 598.76

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Solution

The fourth proportional to 2,059.60, 3,089.41 and 598.76 is: 898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.60 : 3,089.41 = 598.76 : x
  2. Step 2: Convert to fraction form
    2,059.60/3,089.41 = 598.76/x
  3. Step 3: Cross multiply
    2,059.60x = 3,089.41 × 598.76
  4. Step 4: Simplify right side
    2,059.60x = 1,849,815.13
  5. Step 5: Solve for x
    x = 1,849,815.13/2,059.60
  6. Step 6: Final answer
    x = 898.14

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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.