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Finding the Fourth Proportional to 2,985.54, 4,478.10 and 1,254

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Solution

The fourth proportional to 2,985.54, 4,478.10 and 1,254 is: 1,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.54 : 4,478.10 = 1,254 : x
  2. Step 2: Convert to fraction form
    2,985.54/4,478.10 = 1,254/x
  3. Step 3: Cross multiply
    2,985.54x = 4,478.10 × 1,254
  4. Step 4: Simplify right side
    2,985.54x = 5,615,537.40
  5. Step 5: Solve for x
    x = 5,615,537.40/2,985.54
  6. Step 6: Final answer
    x = 1,880.91

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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.