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Finding the Fourth Proportional to 3,068.10, 4,602.88 and 876.77

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Solution

The fourth proportional to 3,068.10, 4,602.88 and 876.77 is: 1,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.10 : 4,602.88 = 876.77 : x
  2. Step 2: Convert to fraction form
    3,068.10/4,602.88 = 876.77/x
  3. Step 3: Cross multiply
    3,068.10x = 4,602.88 × 876.77
  4. Step 4: Simplify right side
    3,068.10x = 4,035,683.40
  5. Step 5: Solve for x
    x = 4,035,683.40/3,068.10
  6. Step 6: Final answer
    x = 1,315.37

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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.