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Finding the Fourth Proportional to 1,473.10, 2,210.93 and 780.27

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Solution

The fourth proportional to 1,473.10, 2,210.93 and 780.27 is: 1,171.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.10 : 2,210.93 = 780.27 : x
  2. Step 2: Convert to fraction form
    1,473.10/2,210.93 = 780.27/x
  3. Step 3: Cross multiply
    1,473.10x = 2,210.93 × 780.27
  4. Step 4: Simplify right side
    1,473.10x = 1,725,122.35
  5. Step 5: Solve for x
    x = 1,725,122.35/1,473.10
  6. Step 6: Final answer
    x = 1,171.08

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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.