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Finding the Fourth Proportional to 1,590.47, 2,382.62 and 895.02

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Solution

The fourth proportional to 1,590.47, 2,382.62 and 895.02 is: 1,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.47 : 2,382.62 = 895.02 : x
  2. Step 2: Convert to fraction form
    1,590.47/2,382.62 = 895.02/x
  3. Step 3: Cross multiply
    1,590.47x = 2,382.62 × 895.02
  4. Step 4: Simplify right side
    1,590.47x = 2,132,492.55
  5. Step 5: Solve for x
    x = 2,132,492.55/1,590.47
  6. Step 6: Final answer
    x = 1,340.79

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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.