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Finding the Fourth Proportional to 1,870.48, 2,578.93 and 1,427.68

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Solution

The fourth proportional to 1,870.48, 2,578.93 and 1,427.68 is: 1,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.48 : 2,578.93 = 1,427.68 : x
  2. Step 2: Convert to fraction form
    1,870.48/2,578.93 = 1,427.68/x
  3. Step 3: Cross multiply
    1,870.48x = 2,578.93 × 1,427.68
  4. Step 4: Simplify right side
    1,870.48x = 3,681,886.78
  5. Step 5: Solve for x
    x = 3,681,886.78/1,870.48
  6. Step 6: Final answer
    x = 1,968.42

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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.