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Finding the Fourth Proportional to 1,354.96, 2,030.92 and 887.33

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Solution

The fourth proportional to 1,354.96, 2,030.92 and 887.33 is: 1,330.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.96 : 2,030.92 = 887.33 : x
  2. Step 2: Convert to fraction form
    1,354.96/2,030.92 = 887.33/x
  3. Step 3: Cross multiply
    1,354.96x = 2,030.92 × 887.33
  4. Step 4: Simplify right side
    1,354.96x = 1,802,091.81
  5. Step 5: Solve for x
    x = 1,802,091.81/1,354.96
  6. Step 6: Final answer
    x = 1,330.00

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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.