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Finding the Fourth Proportional to 2,707.34, 4,061.04 and 975.98

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Solution

The fourth proportional to 2,707.34, 4,061.04 and 975.98 is: 1,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.34 : 4,061.04 = 975.98 : x
  2. Step 2: Convert to fraction form
    2,707.34/4,061.04 = 975.98/x
  3. Step 3: Cross multiply
    2,707.34x = 4,061.04 × 975.98
  4. Step 4: Simplify right side
    2,707.34x = 3,963,493.82
  5. Step 5: Solve for x
    x = 3,963,493.82/2,707.34
  6. Step 6: Final answer
    x = 1,463.98

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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.