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Finding the Fourth Proportional to 2,054.69, 2,835.47 and 1,270.10

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Solution

The fourth proportional to 2,054.69, 2,835.47 and 1,270.10 is: 1,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.69 : 2,835.47 = 1,270.10 : x
  2. Step 2: Convert to fraction form
    2,054.69/2,835.47 = 1,270.10/x
  3. Step 3: Cross multiply
    2,054.69x = 2,835.47 × 1,270.10
  4. Step 4: Simplify right side
    2,054.69x = 3,601,330.45
  5. Step 5: Solve for x
    x = 3,601,330.45/2,054.69
  6. Step 6: Final answer
    x = 1,752.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.