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Finding the Fourth Proportional to 1,533.56, 2,300.21 and 948.65

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Solution

The fourth proportional to 1,533.56, 2,300.21 and 948.65 is: 1,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.56 : 2,300.21 = 948.65 : x
  2. Step 2: Convert to fraction form
    1,533.56/2,300.21 = 948.65/x
  3. Step 3: Cross multiply
    1,533.56x = 2,300.21 × 948.65
  4. Step 4: Simplify right side
    1,533.56x = 2,182,102.34
  5. Step 5: Solve for x
    x = 2,182,102.34/1,533.56
  6. Step 6: Final answer
    x = 1,422.90

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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.