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Finding the Fourth Proportional to 1,860.29, 2,566.65 and 1,152.65

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Solution

The fourth proportional to 1,860.29, 2,566.65 and 1,152.65 is: 1,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.29 : 2,566.65 = 1,152.65 : x
  2. Step 2: Convert to fraction form
    1,860.29/2,566.65 = 1,152.65/x
  3. Step 3: Cross multiply
    1,860.29x = 2,566.65 × 1,152.65
  4. Step 4: Simplify right side
    1,860.29x = 2,958,449.12
  5. Step 5: Solve for x
    x = 2,958,449.12/1,860.29
  6. Step 6: Final answer
    x = 1,590.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.