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Finding the Fourth Proportional to 1,470.69, 2,203.93 and 1,105.06

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Solution

The fourth proportional to 1,470.69, 2,203.93 and 1,105.06 is: 1,656.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.69 : 2,203.93 = 1,105.06 : x
  2. Step 2: Convert to fraction form
    1,470.69/2,203.93 = 1,105.06/x
  3. Step 3: Cross multiply
    1,470.69x = 2,203.93 × 1,105.06
  4. Step 4: Simplify right side
    1,470.69x = 2,435,474.89
  5. Step 5: Solve for x
    x = 2,435,474.89/1,470.69
  6. Step 6: Final answer
    x = 1,656.01

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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.