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Finding the Fourth Proportional to 2,046.60, 2,804.63 and 1,849.77

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Solution

The fourth proportional to 2,046.60, 2,804.63 and 1,849.77 is: 2,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.60 : 2,804.63 = 1,849.77 : x
  2. Step 2: Convert to fraction form
    2,046.60/2,804.63 = 1,849.77/x
  3. Step 3: Cross multiply
    2,046.60x = 2,804.63 × 1,849.77
  4. Step 4: Simplify right side
    2,046.60x = 5,187,911.19
  5. Step 5: Solve for x
    x = 5,187,911.19/2,046.60
  6. Step 6: Final answer
    x = 2,534.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.