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Finding the Fourth Proportional to 1,670.29, 2,506.44 and 940.38

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Solution

The fourth proportional to 1,670.29, 2,506.44 and 940.38 is: 1,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.29 : 2,506.44 = 940.38 : x
  2. Step 2: Convert to fraction form
    1,670.29/2,506.44 = 940.38/x
  3. Step 3: Cross multiply
    1,670.29x = 2,506.44 × 940.38
  4. Step 4: Simplify right side
    1,670.29x = 2,357,000.17
  5. Step 5: Solve for x
    x = 2,357,000.17/1,670.29
  6. Step 6: Final answer
    x = 1,411.13

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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.