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Finding the Fourth Proportional to 2,141.79, 2,955.32 and 1,197.53

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Solution

The fourth proportional to 2,141.79, 2,955.32 and 1,197.53 is: 1,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.79 : 2,955.32 = 1,197.53 : x
  2. Step 2: Convert to fraction form
    2,141.79/2,955.32 = 1,197.53/x
  3. Step 3: Cross multiply
    2,141.79x = 2,955.32 × 1,197.53
  4. Step 4: Simplify right side
    2,141.79x = 3,539,085.76
  5. Step 5: Solve for x
    x = 3,539,085.76/2,141.79
  6. Step 6: Final answer
    x = 1,652.40

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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.