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Finding the Fourth Proportional to 2,962.16, 4,088.12 and 1,783.16

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Solution

The fourth proportional to 2,962.16, 4,088.12 and 1,783.16 is: 2,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.16 : 4,088.12 = 1,783.16 : x
  2. Step 2: Convert to fraction form
    2,962.16/4,088.12 = 1,783.16/x
  3. Step 3: Cross multiply
    2,962.16x = 4,088.12 × 1,783.16
  4. Step 4: Simplify right side
    2,962.16x = 7,289,772.06
  5. Step 5: Solve for x
    x = 7,289,772.06/2,962.16
  6. Step 6: Final answer
    x = 2,460.96

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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.