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Finding the Fourth Proportional to 2,709.02, 4,064.34 and 1,411.40

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Solution

The fourth proportional to 2,709.02, 4,064.34 and 1,411.40 is: 2,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.02 : 4,064.34 = 1,411.40 : x
  2. Step 2: Convert to fraction form
    2,709.02/4,064.34 = 1,411.40/x
  3. Step 3: Cross multiply
    2,709.02x = 4,064.34 × 1,411.40
  4. Step 4: Simplify right side
    2,709.02x = 5,736,409.48
  5. Step 5: Solve for x
    x = 5,736,409.48/2,709.02
  6. Step 6: Final answer
    x = 2,117.52

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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.