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Finding the Fourth Proportional to 1,357.44, 2,039.40 and 975.12

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Solution

The fourth proportional to 1,357.44, 2,039.40 and 975.12 is: 1,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.44 : 2,039.40 = 975.12 : x
  2. Step 2: Convert to fraction form
    1,357.44/2,039.40 = 975.12/x
  3. Step 3: Cross multiply
    1,357.44x = 2,039.40 × 975.12
  4. Step 4: Simplify right side
    1,357.44x = 1,988,659.73
  5. Step 5: Solve for x
    x = 1,988,659.73/1,357.44
  6. Step 6: Final answer
    x = 1,465.01

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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.