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Finding the Fourth Proportional to 2,088.17, 3,131.84 and 607.22

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Solution

The fourth proportional to 2,088.17, 3,131.84 and 607.22 is: 910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.17 : 3,131.84 = 607.22 : x
  2. Step 2: Convert to fraction form
    2,088.17/3,131.84 = 607.22/x
  3. Step 3: Cross multiply
    2,088.17x = 3,131.84 × 607.22
  4. Step 4: Simplify right side
    2,088.17x = 1,901,697.19
  5. Step 5: Solve for x
    x = 1,901,697.19/2,088.17
  6. Step 6: Final answer
    x = 910.70

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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.