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Finding the Fourth Proportional to 1,752.01, 2,417.74 and 955.34

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Solution

The fourth proportional to 1,752.01, 2,417.74 and 955.34 is: 1,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.01 : 2,417.74 = 955.34 : x
  2. Step 2: Convert to fraction form
    1,752.01/2,417.74 = 955.34/x
  3. Step 3: Cross multiply
    1,752.01x = 2,417.74 × 955.34
  4. Step 4: Simplify right side
    1,752.01x = 2,309,758.95
  5. Step 5: Solve for x
    x = 2,309,758.95/1,752.01
  6. Step 6: Final answer
    x = 1,318.35

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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.