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Finding the Fourth Proportional to 2,068.00, 2,852.21 and 1,358.64

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Solution

The fourth proportional to 2,068.00, 2,852.21 and 1,358.64 is: 1,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.00 : 2,852.21 = 1,358.64 : x
  2. Step 2: Convert to fraction form
    2,068.00/2,852.21 = 1,358.64/x
  3. Step 3: Cross multiply
    2,068.00x = 2,852.21 × 1,358.64
  4. Step 4: Simplify right side
    2,068.00x = 3,875,129.99
  5. Step 5: Solve for x
    x = 3,875,129.99/2,068.00
  6. Step 6: Final answer
    x = 1,873.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.