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Finding the Fourth Proportional to 2,364.51, 3,263.03 and 1,302.25

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Solution

The fourth proportional to 2,364.51, 3,263.03 and 1,302.25 is: 1,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.51 : 3,263.03 = 1,302.25 : x
  2. Step 2: Convert to fraction form
    2,364.51/3,263.03 = 1,302.25/x
  3. Step 3: Cross multiply
    2,364.51x = 3,263.03 × 1,302.25
  4. Step 4: Simplify right side
    2,364.51x = 4,249,280.82
  5. Step 5: Solve for x
    x = 4,249,280.82/2,364.51
  6. Step 6: Final answer
    x = 1,797.11

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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.