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Finding the Fourth Proportional to 1,357.05, 2,038.72 and 1,301.72

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Solution

The fourth proportional to 1,357.05, 2,038.72 and 1,301.72 is: 1,955.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.05 : 2,038.72 = 1,301.72 : x
  2. Step 2: Convert to fraction form
    1,357.05/2,038.72 = 1,301.72/x
  3. Step 3: Cross multiply
    1,357.05x = 2,038.72 × 1,301.72
  4. Step 4: Simplify right side
    1,357.05x = 2,653,843.06
  5. Step 5: Solve for x
    x = 2,653,843.06/1,357.05
  6. Step 6: Final answer
    x = 1,955.59

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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.