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Finding the Fourth Proportional to 2,585.70, 3,565.08 and 2,113.11

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Solution

The fourth proportional to 2,585.70, 3,565.08 and 2,113.11 is: 2,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.70 : 3,565.08 = 2,113.11 : x
  2. Step 2: Convert to fraction form
    2,585.70/3,565.08 = 2,113.11/x
  3. Step 3: Cross multiply
    2,585.70x = 3,565.08 × 2,113.11
  4. Step 4: Simplify right side
    2,585.70x = 7,533,406.20
  5. Step 5: Solve for x
    x = 7,533,406.20/2,585.70
  6. Step 6: Final answer
    x = 2,913.49

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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.