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Finding the Fourth Proportional to 1,501.00, 2,251.47 and 678.70

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Solution

The fourth proportional to 1,501.00, 2,251.47 and 678.70 is: 1,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.00 : 2,251.47 = 678.70 : x
  2. Step 2: Convert to fraction form
    1,501.00/2,251.47 = 678.70/x
  3. Step 3: Cross multiply
    1,501.00x = 2,251.47 × 678.70
  4. Step 4: Simplify right side
    1,501.00x = 1,528,061.43
  5. Step 5: Solve for x
    x = 1,528,061.43/1,501.00
  6. Step 6: Final answer
    x = 1,018.03

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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.