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Finding the Fourth Proportional to 1,740.94, 2,402.49 and 955.00

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Solution

The fourth proportional to 1,740.94, 2,402.49 and 955.00 is: 1,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.94 : 2,402.49 = 955.00 : x
  2. Step 2: Convert to fraction form
    1,740.94/2,402.49 = 955.00/x
  3. Step 3: Cross multiply
    1,740.94x = 2,402.49 × 955.00
  4. Step 4: Simplify right side
    1,740.94x = 2,294,384.53
  5. Step 5: Solve for x
    x = 2,294,384.53/1,740.94
  6. Step 6: Final answer
    x = 1,317.90

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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.