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Finding the Fourth Proportional to 3,235.06, 4,851.70 and 894.51

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Solution

The fourth proportional to 3,235.06, 4,851.70 and 894.51 is: 1,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.06 : 4,851.70 = 894.51 : x
  2. Step 2: Convert to fraction form
    3,235.06/4,851.70 = 894.51/x
  3. Step 3: Cross multiply
    3,235.06x = 4,851.70 × 894.51
  4. Step 4: Simplify right side
    3,235.06x = 4,339,894.17
  5. Step 5: Solve for x
    x = 4,339,894.17/3,235.06
  6. Step 6: Final answer
    x = 1,341.52

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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.