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Finding the Fourth Proportional to 2,590.58, 3,574.91 and 1,411.63

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Solution

The fourth proportional to 2,590.58, 3,574.91 and 1,411.63 is: 1,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.58 : 3,574.91 = 1,411.63 : x
  2. Step 2: Convert to fraction form
    2,590.58/3,574.91 = 1,411.63/x
  3. Step 3: Cross multiply
    2,590.58x = 3,574.91 × 1,411.63
  4. Step 4: Simplify right side
    2,590.58x = 5,046,444.80
  5. Step 5: Solve for x
    x = 5,046,444.80/2,590.58
  6. Step 6: Final answer
    x = 1,948.00

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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.