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Finding the Fourth Proportional to 2,330.63, 3,495.98 and 599.25

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Solution

The fourth proportional to 2,330.63, 3,495.98 and 599.25 is: 898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.63 : 3,495.98 = 599.25 : x
  2. Step 2: Convert to fraction form
    2,330.63/3,495.98 = 599.25/x
  3. Step 3: Cross multiply
    2,330.63x = 3,495.98 × 599.25
  4. Step 4: Simplify right side
    2,330.63x = 2,094,966.02
  5. Step 5: Solve for x
    x = 2,094,966.02/2,330.63
  6. Step 6: Final answer
    x = 898.88

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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.