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Finding the Fourth Proportional to 1,354.89, 1,866.85 and 912.03

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Solution

The fourth proportional to 1,354.89, 1,866.85 and 912.03 is: 1,256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.89 : 1,866.85 = 912.03 : x
  2. Step 2: Convert to fraction form
    1,354.89/1,866.85 = 912.03/x
  3. Step 3: Cross multiply
    1,354.89x = 1,866.85 × 912.03
  4. Step 4: Simplify right side
    1,354.89x = 1,702,613.92
  5. Step 5: Solve for x
    x = 1,702,613.92/1,354.89
  6. Step 6: Final answer
    x = 1,256.64

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