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Finding the Fourth Proportional to 2,484.87, 3,430.32 and 2,284.72

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Solution

The fourth proportional to 2,484.87, 3,430.32 and 2,284.72 is: 3,154.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.87 : 3,430.32 = 2,284.72 : x
  2. Step 2: Convert to fraction form
    2,484.87/3,430.32 = 2,284.72/x
  3. Step 3: Cross multiply
    2,484.87x = 3,430.32 × 2,284.72
  4. Step 4: Simplify right side
    2,484.87x = 7,837,320.71
  5. Step 5: Solve for x
    x = 7,837,320.71/2,484.87
  6. Step 6: Final answer
    x = 3,154.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.