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Finding the Fourth Proportional to 2,359.95, 3,256.91 and 1,415.78

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Solution

The fourth proportional to 2,359.95, 3,256.91 and 1,415.78 is: 1,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.95 : 3,256.91 = 1,415.78 : x
  2. Step 2: Convert to fraction form
    2,359.95/3,256.91 = 1,415.78/x
  3. Step 3: Cross multiply
    2,359.95x = 3,256.91 × 1,415.78
  4. Step 4: Simplify right side
    2,359.95x = 4,611,068.04
  5. Step 5: Solve for x
    x = 4,611,068.04/2,359.95
  6. Step 6: Final answer
    x = 1,953.88

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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.