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Finding the Fourth Proportional to 2,140.19, 2,953.76 and 1,256.00

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Solution

The fourth proportional to 2,140.19, 2,953.76 and 1,256.00 is: 1,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.19 : 2,953.76 = 1,256.00 : x
  2. Step 2: Convert to fraction form
    2,140.19/2,953.76 = 1,256.00/x
  3. Step 3: Cross multiply
    2,140.19x = 2,953.76 × 1,256.00
  4. Step 4: Simplify right side
    2,140.19x = 3,709,910.93
  5. Step 5: Solve for x
    x = 3,709,910.93/2,140.19
  6. Step 6: Final answer
    x = 1,733.45

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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.