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Finding the Fourth Proportional to 2,590.36, 3,574.66 and 1,411.40

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Solution

The fourth proportional to 2,590.36, 3,574.66 and 1,411.40 is: 1,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.36 : 3,574.66 = 1,411.40 : x
  2. Step 2: Convert to fraction form
    2,590.36/3,574.66 = 1,411.40/x
  3. Step 3: Cross multiply
    2,590.36x = 3,574.66 × 1,411.40
  4. Step 4: Simplify right side
    2,590.36x = 5,045,275.12
  5. Step 5: Solve for x
    x = 5,045,275.12/2,590.36
  6. Step 6: Final answer
    x = 1,947.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.