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Finding the Fourth Proportional to 1,535.53, 2,300.34 and 948.82

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Solution

The fourth proportional to 1,535.53, 2,300.34 and 948.82 is: 1,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.53 : 2,300.34 = 948.82 : x
  2. Step 2: Convert to fraction form
    1,535.53/2,300.34 = 948.82/x
  3. Step 3: Cross multiply
    1,535.53x = 2,300.34 × 948.82
  4. Step 4: Simplify right side
    1,535.53x = 2,182,608.60
  5. Step 5: Solve for x
    x = 2,182,608.60/1,535.53
  6. Step 6: Final answer
    x = 1,421.40

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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.