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Finding the Fourth Proportional to 2,157.16, 2,978.43 and 1,492.86

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Solution

The fourth proportional to 2,157.16, 2,978.43 and 1,492.86 is: 2,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.16 : 2,978.43 = 1,492.86 : x
  2. Step 2: Convert to fraction form
    2,157.16/2,978.43 = 1,492.86/x
  3. Step 3: Cross multiply
    2,157.16x = 2,978.43 × 1,492.86
  4. Step 4: Simplify right side
    2,157.16x = 4,446,379.01
  5. Step 5: Solve for x
    x = 4,446,379.01/2,157.16
  6. Step 6: Final answer
    x = 2,061.22

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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.