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Finding the Fourth Proportional to 4,242.34, 6,365.99 and 1,776.95

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Solution

The fourth proportional to 4,242.34, 6,365.99 and 1,776.95 is: 2,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.34 : 6,365.99 = 1,776.95 : x
  2. Step 2: Convert to fraction form
    4,242.34/6,365.99 = 1,776.95/x
  3. Step 3: Cross multiply
    4,242.34x = 6,365.99 × 1,776.95
  4. Step 4: Simplify right side
    4,242.34x = 11,312,045.93
  5. Step 5: Solve for x
    x = 11,312,045.93/4,242.34
  6. Step 6: Final answer
    x = 2,666.46

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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.