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Finding the Fourth Proportional to 2,063.48, 3,095.84 and 602.64

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Solution

The fourth proportional to 2,063.48, 3,095.84 and 602.64 is: 904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.48 : 3,095.84 = 602.64 : x
  2. Step 2: Convert to fraction form
    2,063.48/3,095.84 = 602.64/x
  3. Step 3: Cross multiply
    2,063.48x = 3,095.84 × 602.64
  4. Step 4: Simplify right side
    2,063.48x = 1,865,677.02
  5. Step 5: Solve for x
    x = 1,865,677.02/2,063.48
  6. Step 6: Final answer
    x = 904.14

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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.