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Finding the Fourth Proportional to 2,598.95, 3,898.94 and 955.51

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Solution

The fourth proportional to 2,598.95, 3,898.94 and 955.51 is: 1,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.95 : 3,898.94 = 955.51 : x
  2. Step 2: Convert to fraction form
    2,598.95/3,898.94 = 955.51/x
  3. Step 3: Cross multiply
    2,598.95x = 3,898.94 × 955.51
  4. Step 4: Simplify right side
    2,598.95x = 3,725,476.16
  5. Step 5: Solve for x
    x = 3,725,476.16/2,598.95
  6. Step 6: Final answer
    x = 1,433.45

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Why These Related Problems?

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