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Finding the Fourth Proportional to 1,354.53, 2,030.77 and 866.64

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Solution

The fourth proportional to 1,354.53, 2,030.77 and 866.64 is: 1,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.53 : 2,030.77 = 866.64 : x
  2. Step 2: Convert to fraction form
    1,354.53/2,030.77 = 866.64/x
  3. Step 3: Cross multiply
    1,354.53x = 2,030.77 × 866.64
  4. Step 4: Simplify right side
    1,354.53x = 1,759,946.51
  5. Step 5: Solve for x
    x = 1,759,946.51/1,354.53
  6. Step 6: Final answer
    x = 1,299.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.