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Finding the Fourth Proportional to 2,032.40, 2,804.94 and 1,700.24

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Solution

The fourth proportional to 2,032.40, 2,804.94 and 1,700.24 is: 2,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.40 : 2,804.94 = 1,700.24 : x
  2. Step 2: Convert to fraction form
    2,032.40/2,804.94 = 1,700.24/x
  3. Step 3: Cross multiply
    2,032.40x = 2,804.94 × 1,700.24
  4. Step 4: Simplify right side
    2,032.40x = 4,769,071.19
  5. Step 5: Solve for x
    x = 4,769,071.19/2,032.40
  6. Step 6: Final answer
    x = 2,346.52

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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.