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Finding the Fourth Proportional to 3,054.51, 4,578.16 and 1,298.98

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Solution

The fourth proportional to 3,054.51, 4,578.16 and 1,298.98 is: 1,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.51 : 4,578.16 = 1,298.98 : x
  2. Step 2: Convert to fraction form
    3,054.51/4,578.16 = 1,298.98/x
  3. Step 3: Cross multiply
    3,054.51x = 4,578.16 × 1,298.98
  4. Step 4: Simplify right side
    3,054.51x = 5,946,938.28
  5. Step 5: Solve for x
    x = 5,946,938.28/3,054.51
  6. Step 6: Final answer
    x = 1,946.94

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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.