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Finding the Fourth Proportional to 2,117.30, 3,176.01 and 730.70

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Solution

The fourth proportional to 2,117.30, 3,176.01 and 730.70 is: 1,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.30 : 3,176.01 = 730.70 : x
  2. Step 2: Convert to fraction form
    2,117.30/3,176.01 = 730.70/x
  3. Step 3: Cross multiply
    2,117.30x = 3,176.01 × 730.70
  4. Step 4: Simplify right side
    2,117.30x = 2,320,710.51
  5. Step 5: Solve for x
    x = 2,320,710.51/2,117.30
  6. Step 6: Final answer
    x = 1,096.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.