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Finding the Fourth Proportional to 1,530.54, 2,293.56 and 905.19

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Solution

The fourth proportional to 1,530.54, 2,293.56 and 905.19 is: 1,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.54 : 2,293.56 = 905.19 : x
  2. Step 2: Convert to fraction form
    1,530.54/2,293.56 = 905.19/x
  3. Step 3: Cross multiply
    1,530.54x = 2,293.56 × 905.19
  4. Step 4: Simplify right side
    1,530.54x = 2,076,111.88
  5. Step 5: Solve for x
    x = 2,076,111.88/1,530.54
  6. Step 6: Final answer
    x = 1,356.46

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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.