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Finding the Fourth Proportional to 1,716.40, 2,574.58 and 417.88

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Solution

The fourth proportional to 1,716.40, 2,574.58 and 417.88 is: 626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.40 : 2,574.58 = 417.88 : x
  2. Step 2: Convert to fraction form
    1,716.40/2,574.58 = 417.88/x
  3. Step 3: Cross multiply
    1,716.40x = 2,574.58 × 417.88
  4. Step 4: Simplify right side
    1,716.40x = 1,075,865.49
  5. Step 5: Solve for x
    x = 1,075,865.49/1,716.40
  6. Step 6: Final answer
    x = 626.82

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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.