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Finding the Fourth Proportional to 2,088.64, 3,133.59 and 1,114

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Solution

The fourth proportional to 2,088.64, 3,133.59 and 1,114 is: 1,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.64 : 3,133.59 = 1,114 : x
  2. Step 2: Convert to fraction form
    2,088.64/3,133.59 = 1,114/x
  3. Step 3: Cross multiply
    2,088.64x = 3,133.59 × 1,114
  4. Step 4: Simplify right side
    2,088.64x = 3,490,819.26
  5. Step 5: Solve for x
    x = 3,490,819.26/2,088.64
  6. Step 6: Final answer
    x = 1,671.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.