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Finding the Fourth Proportional to 2,140.36, 2,953.02 and 1,301.40

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Solution

The fourth proportional to 2,140.36, 2,953.02 and 1,301.40 is: 1,795.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.36 : 2,953.02 = 1,301.40 : x
  2. Step 2: Convert to fraction form
    2,140.36/2,953.02 = 1,301.40/x
  3. Step 3: Cross multiply
    2,140.36x = 2,953.02 × 1,301.40
  4. Step 4: Simplify right side
    2,140.36x = 3,843,060.23
  5. Step 5: Solve for x
    x = 3,843,060.23/2,140.36
  6. Step 6: Final answer
    x = 1,795.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.