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Finding the Fourth Proportional to 2,366.02, 3,265.87 and 1,526.07

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Solution

The fourth proportional to 2,366.02, 3,265.87 and 1,526.07 is: 2,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.02 : 3,265.87 = 1,526.07 : x
  2. Step 2: Convert to fraction form
    2,366.02/3,265.87 = 1,526.07/x
  3. Step 3: Cross multiply
    2,366.02x = 3,265.87 × 1,526.07
  4. Step 4: Simplify right side
    2,366.02x = 4,983,957.01
  5. Step 5: Solve for x
    x = 4,983,957.01/2,366.02
  6. Step 6: Final answer
    x = 2,106.47

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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.