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Finding the Fourth Proportional to 2,365.51, 3,263.72 and 1,526.71

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Solution

The fourth proportional to 2,365.51, 3,263.72 and 1,526.71 is: 2,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.51 : 3,263.72 = 1,526.71 : x
  2. Step 2: Convert to fraction form
    2,365.51/3,263.72 = 1,526.71/x
  3. Step 3: Cross multiply
    2,365.51x = 3,263.72 × 1,526.71
  4. Step 4: Simplify right side
    2,365.51x = 4,982,738.17
  5. Step 5: Solve for x
    x = 4,982,738.17/2,365.51
  6. Step 6: Final answer
    x = 2,106.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.