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Finding the Fourth Proportional to 1,670.81, 2,506.75 and 940.19

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Solution

The fourth proportional to 1,670.81, 2,506.75 and 940.19 is: 1,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.81 : 2,506.75 = 940.19 : x
  2. Step 2: Convert to fraction form
    1,670.81/2,506.75 = 940.19/x
  3. Step 3: Cross multiply
    1,670.81x = 2,506.75 × 940.19
  4. Step 4: Simplify right side
    1,670.81x = 2,356,806.40
  5. Step 5: Solve for x
    x = 2,356,806.40/1,670.81
  6. Step 6: Final answer
    x = 1,410.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.