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Finding the Fourth Proportional to 1,573.57, 2,369.72 and 1,370.59

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Solution

The fourth proportional to 1,573.57, 2,369.72 and 1,370.59 is: 2,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.57 : 2,369.72 = 1,370.59 : x
  2. Step 2: Convert to fraction form
    1,573.57/2,369.72 = 1,370.59/x
  3. Step 3: Cross multiply
    1,573.57x = 2,369.72 × 1,370.59
  4. Step 4: Simplify right side
    1,573.57x = 3,247,897.31
  5. Step 5: Solve for x
    x = 3,247,897.31/1,573.57
  6. Step 6: Final answer
    x = 2,064.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.