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Finding the Fourth Proportional to 2,034.40, 2,804.40 and 1,753.60

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Solution

The fourth proportional to 2,034.40, 2,804.40 and 1,753.60 is: 2,417.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.40 : 2,804.40 = 1,753.60 : x
  2. Step 2: Convert to fraction form
    2,034.40/2,804.40 = 1,753.60/x
  3. Step 3: Cross multiply
    2,034.40x = 2,804.40 × 1,753.60
  4. Step 4: Simplify right side
    2,034.40x = 4,917,795.84
  5. Step 5: Solve for x
    x = 4,917,795.84/2,034.40
  6. Step 6: Final answer
    x = 2,417.32

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1.5x scale

Why These Related Problems?

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