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Finding the Fourth Proportional to 1,642.54, 2,460.90 and 1,370.38

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Solution

The fourth proportional to 1,642.54, 2,460.90 and 1,370.38 is: 2,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.54 : 2,460.90 = 1,370.38 : x
  2. Step 2: Convert to fraction form
    1,642.54/2,460.90 = 1,370.38/x
  3. Step 3: Cross multiply
    1,642.54x = 2,460.90 × 1,370.38
  4. Step 4: Simplify right side
    1,642.54x = 3,372,368.14
  5. Step 5: Solve for x
    x = 3,372,368.14/1,642.54
  6. Step 6: Final answer
    x = 2,053.14

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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.