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Finding the Fourth Proportional to 4,641.60, 6,962.81 and 1,719.93

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Solution

The fourth proportional to 4,641.60, 6,962.81 and 1,719.93 is: 2,580.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.60 : 6,962.81 = 1,719.93 : x
  2. Step 2: Convert to fraction form
    4,641.60/6,962.81 = 1,719.93/x
  3. Step 3: Cross multiply
    4,641.60x = 6,962.81 × 1,719.93
  4. Step 4: Simplify right side
    4,641.60x = 11,975,537.20
  5. Step 5: Solve for x
    x = 11,975,537.20/4,641.60
  6. Step 6: Final answer
    x = 2,580.05

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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.