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Finding the Fourth Proportional to 1,312.48, 1,812 and 1,166.68

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Solution

The fourth proportional to 1,312.48, 1,812 and 1,166.68 is: 1,610.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.48 : 1,812 = 1,166.68 : x
  2. Step 2: Convert to fraction form
    1,312.48/1,812 = 1,166.68/x
  3. Step 3: Cross multiply
    1,312.48x = 1,812 × 1,166.68
  4. Step 4: Simplify right side
    1,312.48x = 2,114,024.16
  5. Step 5: Solve for x
    x = 2,114,024.16/1,312.48
  6. Step 6: Final answer
    x = 1,610.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.