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Finding the Fourth Proportional to 2,030.86, 3,045.88 and 935.07

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Solution

The fourth proportional to 2,030.86, 3,045.88 and 935.07 is: 1,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.86 : 3,045.88 = 935.07 : x
  2. Step 2: Convert to fraction form
    2,030.86/3,045.88 = 935.07/x
  3. Step 3: Cross multiply
    2,030.86x = 3,045.88 × 935.07
  4. Step 4: Simplify right side
    2,030.86x = 2,848,111.01
  5. Step 5: Solve for x
    x = 2,848,111.01/2,030.86
  6. Step 6: Final answer
    x = 1,402.42

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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.