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Finding the Fourth Proportional to 2,893.84, 4,341.40 and 1,354

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Solution

The fourth proportional to 2,893.84, 4,341.40 and 1,354 is: 2,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.84 : 4,341.40 = 1,354 : x
  2. Step 2: Convert to fraction form
    2,893.84/4,341.40 = 1,354/x
  3. Step 3: Cross multiply
    2,893.84x = 4,341.40 × 1,354
  4. Step 4: Simplify right side
    2,893.84x = 5,878,255.60
  5. Step 5: Solve for x
    x = 5,878,255.60/2,893.84
  6. Step 6: Final answer
    x = 2,031.30

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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.