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Finding the Fourth Proportional to 1,533.04, 2,115.75 and 903.76

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Solution

The fourth proportional to 1,533.04, 2,115.75 and 903.76 is: 1,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.04 : 2,115.75 = 903.76 : x
  2. Step 2: Convert to fraction form
    1,533.04/2,115.75 = 903.76/x
  3. Step 3: Cross multiply
    1,533.04x = 2,115.75 × 903.76
  4. Step 4: Simplify right side
    1,533.04x = 1,912,130.22
  5. Step 5: Solve for x
    x = 1,912,130.22/1,533.04
  6. Step 6: Final answer
    x = 1,247.28

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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.