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Finding the Fourth Proportional to 1,354.36, 2,030.28 and 921.64

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Solution

The fourth proportional to 1,354.36, 2,030.28 and 921.64 is: 1,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.36 : 2,030.28 = 921.64 : x
  2. Step 2: Convert to fraction form
    1,354.36/2,030.28 = 921.64/x
  3. Step 3: Cross multiply
    1,354.36x = 2,030.28 × 921.64
  4. Step 4: Simplify right side
    1,354.36x = 1,871,187.26
  5. Step 5: Solve for x
    x = 1,871,187.26/1,354.36
  6. Step 6: Final answer
    x = 1,381.60

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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.