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Finding the Fourth Proportional to 1,670.07, 2,500.47 and 844.30

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Solution

The fourth proportional to 1,670.07, 2,500.47 and 844.30 is: 1,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.07 : 2,500.47 = 844.30 : x
  2. Step 2: Convert to fraction form
    1,670.07/2,500.47 = 844.30/x
  3. Step 3: Cross multiply
    1,670.07x = 2,500.47 × 844.30
  4. Step 4: Simplify right side
    1,670.07x = 2,111,146.82
  5. Step 5: Solve for x
    x = 2,111,146.82/1,670.07
  6. Step 6: Final answer
    x = 1,264.11

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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.