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Finding the Fourth Proportional to 2,477.63, 3,416.32 and 1,580.16

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Solution

The fourth proportional to 2,477.63, 3,416.32 and 1,580.16 is: 2,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.63 : 3,416.32 = 1,580.16 : x
  2. Step 2: Convert to fraction form
    2,477.63/3,416.32 = 1,580.16/x
  3. Step 3: Cross multiply
    2,477.63x = 3,416.32 × 1,580.16
  4. Step 4: Simplify right side
    2,477.63x = 5,398,348.29
  5. Step 5: Solve for x
    x = 5,398,348.29/2,477.63
  6. Step 6: Final answer
    x = 2,178.84

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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.