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Finding the Fourth Proportional to 2,088.76, 3,133.14 and 1,049.32

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Solution

The fourth proportional to 2,088.76, 3,133.14 and 1,049.32 is: 1,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.76 : 3,133.14 = 1,049.32 : x
  2. Step 2: Convert to fraction form
    2,088.76/3,133.14 = 1,049.32/x
  3. Step 3: Cross multiply
    2,088.76x = 3,133.14 × 1,049.32
  4. Step 4: Simplify right side
    2,088.76x = 3,287,666.46
  5. Step 5: Solve for x
    x = 3,287,666.46/2,088.76
  6. Step 6: Final answer
    x = 1,573.98

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