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Finding the Fourth Proportional to 1,668.57, 2,502.74 and 846.81

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Solution

The fourth proportional to 1,668.57, 2,502.74 and 846.81 is: 1,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.57 : 2,502.74 = 846.81 : x
  2. Step 2: Convert to fraction form
    1,668.57/2,502.74 = 846.81/x
  3. Step 3: Cross multiply
    1,668.57x = 2,502.74 × 846.81
  4. Step 4: Simplify right side
    1,668.57x = 2,119,356.76
  5. Step 5: Solve for x
    x = 2,119,356.76/1,668.57
  6. Step 6: Final answer
    x = 1,270.16

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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.