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Finding the Fourth Proportional to 1,676.87, 2,314.07 and 930.93

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Solution

The fourth proportional to 1,676.87, 2,314.07 and 930.93 is: 1,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.87 : 2,314.07 = 930.93 : x
  2. Step 2: Convert to fraction form
    1,676.87/2,314.07 = 930.93/x
  3. Step 3: Cross multiply
    1,676.87x = 2,314.07 × 930.93
  4. Step 4: Simplify right side
    1,676.87x = 2,154,237.19
  5. Step 5: Solve for x
    x = 2,154,237.19/1,676.87
  6. Step 6: Final answer
    x = 1,284.68

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1.5x scale

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.