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Finding the Fourth Proportional to 4,602.59, 6,905.00 and 1,482.90

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Solution

The fourth proportional to 4,602.59, 6,905.00 and 1,482.90 is: 2,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.59 : 6,905.00 = 1,482.90 : x
  2. Step 2: Convert to fraction form
    4,602.59/6,905.00 = 1,482.90/x
  3. Step 3: Cross multiply
    4,602.59x = 6,905.00 × 1,482.90
  4. Step 4: Simplify right side
    4,602.59x = 10,239,402.31
  5. Step 5: Solve for x
    x = 10,239,402.31/4,602.59
  6. Step 6: Final answer
    x = 2,224.71

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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.