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Finding the Fourth Proportional to 4,616.76, 6,925.10 and 1,154

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Solution

The fourth proportional to 4,616.76, 6,925.10 and 1,154 is: 1,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.76 : 6,925.10 = 1,154 : x
  2. Step 2: Convert to fraction form
    4,616.76/6,925.10 = 1,154/x
  3. Step 3: Cross multiply
    4,616.76x = 6,925.10 × 1,154
  4. Step 4: Simplify right side
    4,616.76x = 7,991,565.40
  5. Step 5: Solve for x
    x = 7,991,565.40/4,616.76
  6. Step 6: Final answer
    x = 1,730.99

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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.