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Finding the Fourth Proportional to 2,088.05, 2,881.64 and 1,342.24

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Solution

The fourth proportional to 2,088.05, 2,881.64 and 1,342.24 is: 1,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.05 : 2,881.64 = 1,342.24 : x
  2. Step 2: Convert to fraction form
    2,088.05/2,881.64 = 1,342.24/x
  3. Step 3: Cross multiply
    2,088.05x = 2,881.64 × 1,342.24
  4. Step 4: Simplify right side
    2,088.05x = 3,867,848.63
  5. Step 5: Solve for x
    x = 3,867,848.63/2,088.05
  6. Step 6: Final answer
    x = 1,852.38

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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.