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Finding the Fourth Proportional to 1,407.80, 2,103.56 and 1,015.94

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Solution

The fourth proportional to 1,407.80, 2,103.56 and 1,015.94 is: 1,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.80 : 2,103.56 = 1,015.94 : x
  2. Step 2: Convert to fraction form
    1,407.80/2,103.56 = 1,015.94/x
  3. Step 3: Cross multiply
    1,407.80x = 2,103.56 × 1,015.94
  4. Step 4: Simplify right side
    1,407.80x = 2,137,090.75
  5. Step 5: Solve for x
    x = 2,137,090.75/1,407.80
  6. Step 6: Final answer
    x = 1,518.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.