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Finding the Fourth Proportional to 2,590.06, 3,574.20 and 1,471.10

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Solution

The fourth proportional to 2,590.06, 3,574.20 and 1,471.10 is: 2,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.06 : 3,574.20 = 1,471.10 : x
  2. Step 2: Convert to fraction form
    2,590.06/3,574.20 = 1,471.10/x
  3. Step 3: Cross multiply
    2,590.06x = 3,574.20 × 1,471.10
  4. Step 4: Simplify right side
    2,590.06x = 5,258,005.62
  5. Step 5: Solve for x
    x = 5,258,005.62/2,590.06
  6. Step 6: Final answer
    x = 2,030.07

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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.