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Finding the Fourth Proportional to 2,703.02, 4,056.04 and 1,470.51

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Solution

The fourth proportional to 2,703.02, 4,056.04 and 1,470.51 is: 2,206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.02 : 4,056.04 = 1,470.51 : x
  2. Step 2: Convert to fraction form
    2,703.02/4,056.04 = 1,470.51/x
  3. Step 3: Cross multiply
    2,703.02x = 4,056.04 × 1,470.51
  4. Step 4: Simplify right side
    2,703.02x = 5,964,449.22
  5. Step 5: Solve for x
    x = 5,964,449.22/2,703.02
  6. Step 6: Final answer
    x = 2,206.59

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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.