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Finding the Fourth Proportional to 2,140.68, 2,953.80 and 1,256.36

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Solution

The fourth proportional to 2,140.68, 2,953.80 and 1,256.36 is: 1,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.68 : 2,953.80 = 1,256.36 : x
  2. Step 2: Convert to fraction form
    2,140.68/2,953.80 = 1,256.36/x
  3. Step 3: Cross multiply
    2,140.68x = 2,953.80 × 1,256.36
  4. Step 4: Simplify right side
    2,140.68x = 3,711,036.17
  5. Step 5: Solve for x
    x = 3,711,036.17/2,140.68
  6. Step 6: Final answer
    x = 1,733.58

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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.