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Finding the Fourth Proportional to 2,590.16, 3,574.50 and 1,411.16

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Solution

The fourth proportional to 2,590.16, 3,574.50 and 1,411.16 is: 1,947.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.16 : 3,574.50 = 1,411.16 : x
  2. Step 2: Convert to fraction form
    2,590.16/3,574.50 = 1,411.16/x
  3. Step 3: Cross multiply
    2,590.16x = 3,574.50 × 1,411.16
  4. Step 4: Simplify right side
    2,590.16x = 5,044,191.42
  5. Step 5: Solve for x
    x = 5,044,191.42/2,590.16
  6. Step 6: Final answer
    x = 1,947.44

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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.