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Finding the Fourth Proportional to 3,140.46, 4,707.45 and 1,410.30

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Solution

The fourth proportional to 3,140.46, 4,707.45 and 1,410.30 is: 2,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.46 : 4,707.45 = 1,410.30 : x
  2. Step 2: Convert to fraction form
    3,140.46/4,707.45 = 1,410.30/x
  3. Step 3: Cross multiply
    3,140.46x = 4,707.45 × 1,410.30
  4. Step 4: Simplify right side
    3,140.46x = 6,638,916.74
  5. Step 5: Solve for x
    x = 6,638,916.74/3,140.46
  6. Step 6: Final answer
    x = 2,113.99

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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.