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Finding the Fourth Proportional to 2,088.17, 3,130.39 and 790.55

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Solution

The fourth proportional to 2,088.17, 3,130.39 and 790.55 is: 1,185.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.17 : 3,130.39 = 790.55 : x
  2. Step 2: Convert to fraction form
    2,088.17/3,130.39 = 790.55/x
  3. Step 3: Cross multiply
    2,088.17x = 3,130.39 × 790.55
  4. Step 4: Simplify right side
    2,088.17x = 2,474,729.81
  5. Step 5: Solve for x
    x = 2,474,729.81/2,088.17
  6. Step 6: Final answer
    x = 1,185.12

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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.