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Finding the Fourth Proportional to 2,590.36, 3,574.71 and 1,542.46

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Solution

The fourth proportional to 2,590.36, 3,574.71 and 1,542.46 is: 2,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.36 : 3,574.71 = 1,542.46 : x
  2. Step 2: Convert to fraction form
    2,590.36/3,574.71 = 1,542.46/x
  3. Step 3: Cross multiply
    2,590.36x = 3,574.71 × 1,542.46
  4. Step 4: Simplify right side
    2,590.36x = 5,513,847.19
  5. Step 5: Solve for x
    x = 5,513,847.19/2,590.36
  6. Step 6: Final answer
    x = 2,128.60

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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.