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Finding the Fourth Proportional to 1,569.15, 2,353.73 and 953.06

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Solution

The fourth proportional to 1,569.15, 2,353.73 and 953.06 is: 1,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.15 : 2,353.73 = 953.06 : x
  2. Step 2: Convert to fraction form
    1,569.15/2,353.73 = 953.06/x
  3. Step 3: Cross multiply
    1,569.15x = 2,353.73 × 953.06
  4. Step 4: Simplify right side
    1,569.15x = 2,243,229.38
  5. Step 5: Solve for x
    x = 2,243,229.38/1,569.15
  6. Step 6: Final answer
    x = 1,429.58

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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.