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Finding the Fourth Proportional to 3,038.23, 4,557.59 and 846.98

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Solution

The fourth proportional to 3,038.23, 4,557.59 and 846.98 is: 1,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.23 : 4,557.59 = 846.98 : x
  2. Step 2: Convert to fraction form
    3,038.23/4,557.59 = 846.98/x
  3. Step 3: Cross multiply
    3,038.23x = 4,557.59 × 846.98
  4. Step 4: Simplify right side
    3,038.23x = 3,860,187.58
  5. Step 5: Solve for x
    x = 3,860,187.58/3,038.23
  6. Step 6: Final answer
    x = 1,270.54

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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.