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Finding the Fourth Proportional to 1,357.40, 2,036.14 and 383.52

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Solution

The fourth proportional to 1,357.40, 2,036.14 and 383.52 is: 575.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.40 : 2,036.14 = 383.52 : x
  2. Step 2: Convert to fraction form
    1,357.40/2,036.14 = 383.52/x
  3. Step 3: Cross multiply
    1,357.40x = 2,036.14 × 383.52
  4. Step 4: Simplify right side
    1,357.40x = 780,900.41
  5. Step 5: Solve for x
    x = 780,900.41/1,357.40
  6. Step 6: Final answer
    x = 575.29

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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.