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Finding the Fourth Proportional to 2,700.71, 4,051.70 and 1,056.81

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Solution

The fourth proportional to 2,700.71, 4,051.70 and 1,056.81 is: 1,585.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.71 : 4,051.70 = 1,056.81 : x
  2. Step 2: Convert to fraction form
    2,700.71/4,051.70 = 1,056.81/x
  3. Step 3: Cross multiply
    2,700.71x = 4,051.70 × 1,056.81
  4. Step 4: Simplify right side
    2,700.71x = 4,281,871.79
  5. Step 5: Solve for x
    x = 4,281,871.79/2,700.71
  6. Step 6: Final answer
    x = 1,585.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.