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Finding the Fourth Proportional to 1,507.20, 2,090.40 and 1,478.40

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Solution

The fourth proportional to 1,507.20, 2,090.40 and 1,478.40 is: 2,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.20 : 2,090.40 = 1,478.40 : x
  2. Step 2: Convert to fraction form
    1,507.20/2,090.40 = 1,478.40/x
  3. Step 3: Cross multiply
    1,507.20x = 2,090.40 × 1,478.40
  4. Step 4: Simplify right side
    1,507.20x = 3,090,447.36
  5. Step 5: Solve for x
    x = 3,090,447.36/1,507.20
  6. Step 6: Final answer
    x = 2,050.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.