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Finding the Fourth Proportional to 1,735.65, 2,596.88 and 1,066.16

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Solution

The fourth proportional to 1,735.65, 2,596.88 and 1,066.16 is: 1,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.65 : 2,596.88 = 1,066.16 : x
  2. Step 2: Convert to fraction form
    1,735.65/2,596.88 = 1,066.16/x
  3. Step 3: Cross multiply
    1,735.65x = 2,596.88 × 1,066.16
  4. Step 4: Simplify right side
    1,735.65x = 2,768,698.74
  5. Step 5: Solve for x
    x = 2,768,698.74/1,735.65
  6. Step 6: Final answer
    x = 1,595.19

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