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Finding the Fourth Proportional to 1,815.76, 2,506.86 and 1,256.02

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Solution

The fourth proportional to 1,815.76, 2,506.86 and 1,256.02 is: 1,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.76 : 2,506.86 = 1,256.02 : x
  2. Step 2: Convert to fraction form
    1,815.76/2,506.86 = 1,256.02/x
  3. Step 3: Cross multiply
    1,815.76x = 2,506.86 × 1,256.02
  4. Step 4: Simplify right side
    1,815.76x = 3,148,666.30
  5. Step 5: Solve for x
    x = 3,148,666.30/1,815.76
  6. Step 6: Final answer
    x = 1,734.08

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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.