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Finding the Fourth Proportional to 2,985, 4,477.65 and 1,341.66

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Solution

The fourth proportional to 2,985, 4,477.65 and 1,341.66 is: 2,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985 : 4,477.65 = 1,341.66 : x
  2. Step 2: Convert to fraction form
    2,985/4,477.65 = 1,341.66/x
  3. Step 3: Cross multiply
    2,985x = 4,477.65 × 1,341.66
  4. Step 4: Simplify right side
    2,985x = 6,007,483.90
  5. Step 5: Solve for x
    x = 6,007,483.90/2,985
  6. Step 6: Final answer
    x = 2,012.56

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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.