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Finding the Fourth Proportional to 2,065.17, 3,098.40 and 678.53

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Solution

The fourth proportional to 2,065.17, 3,098.40 and 678.53 is: 1,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.17 : 3,098.40 = 678.53 : x
  2. Step 2: Convert to fraction form
    2,065.17/3,098.40 = 678.53/x
  3. Step 3: Cross multiply
    2,065.17x = 3,098.40 × 678.53
  4. Step 4: Simplify right side
    2,065.17x = 2,102,341.86
  5. Step 5: Solve for x
    x = 2,102,341.86/2,065.17
  6. Step 6: Final answer
    x = 1,018.00

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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.