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Finding the Fourth Proportional to 2,590.47, 3,574.94 and 1,411.58

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Solution

The fourth proportional to 2,590.47, 3,574.94 and 1,411.58 is: 1,948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.47 : 3,574.94 = 1,411.58 : x
  2. Step 2: Convert to fraction form
    2,590.47/3,574.94 = 1,411.58/x
  3. Step 3: Cross multiply
    2,590.47x = 3,574.94 × 1,411.58
  4. Step 4: Simplify right side
    2,590.47x = 5,046,315.68
  5. Step 5: Solve for x
    x = 5,046,315.68/2,590.47
  6. Step 6: Final answer
    x = 1,948.03

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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.