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Finding the Fourth Proportional to 1,217.55, 1,826.93 and 924.93

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Solution

The fourth proportional to 1,217.55, 1,826.93 and 924.93 is: 1,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.55 : 1,826.93 = 924.93 : x
  2. Step 2: Convert to fraction form
    1,217.55/1,826.93 = 924.93/x
  3. Step 3: Cross multiply
    1,217.55x = 1,826.93 × 924.93
  4. Step 4: Simplify right side
    1,217.55x = 1,689,782.36
  5. Step 5: Solve for x
    x = 1,689,782.36/1,217.55
  6. Step 6: Final answer
    x = 1,387.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.