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Finding the Fourth Proportional to 2,155.86, 2,975.40 and 1,492.38

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Solution

The fourth proportional to 2,155.86, 2,975.40 and 1,492.38 is: 2,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.86 : 2,975.40 = 1,492.38 : x
  2. Step 2: Convert to fraction form
    2,155.86/2,975.40 = 1,492.38/x
  3. Step 3: Cross multiply
    2,155.86x = 2,975.40 × 1,492.38
  4. Step 4: Simplify right side
    2,155.86x = 4,440,427.45
  5. Step 5: Solve for x
    x = 4,440,427.45/2,155.86
  6. Step 6: Final answer
    x = 2,059.70

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Why These Related Problems?

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