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Finding the Fourth Proportional to 1,515.60, 2,090.14 and 983.93

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Solution

The fourth proportional to 1,515.60, 2,090.14 and 983.93 is: 1,356.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.60 : 2,090.14 = 983.93 : x
  2. Step 2: Convert to fraction form
    1,515.60/2,090.14 = 983.93/x
  3. Step 3: Cross multiply
    1,515.60x = 2,090.14 × 983.93
  4. Step 4: Simplify right side
    1,515.60x = 2,056,546.53
  5. Step 5: Solve for x
    x = 2,056,546.53/1,515.60
  6. Step 6: Final answer
    x = 1,356.92

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