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Finding the Fourth Proportional to 3,061.34, 4,592.00 and 1,416.98

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Solution

The fourth proportional to 3,061.34, 4,592.00 and 1,416.98 is: 2,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.34 : 4,592.00 = 1,416.98 : x
  2. Step 2: Convert to fraction form
    3,061.34/4,592.00 = 1,416.98/x
  3. Step 3: Cross multiply
    3,061.34x = 4,592.00 × 1,416.98
  4. Step 4: Simplify right side
    3,061.34x = 6,506,787.18
  5. Step 5: Solve for x
    x = 6,506,787.18/3,061.34
  6. Step 6: Final answer
    x = 2,125.47

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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.