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Finding the Fourth Proportional to 1,514.93, 2,271.95 and 590.28

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Solution

The fourth proportional to 1,514.93, 2,271.95 and 590.28 is: 885.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.93 : 2,271.95 = 590.28 : x
  2. Step 2: Convert to fraction form
    1,514.93/2,271.95 = 590.28/x
  3. Step 3: Cross multiply
    1,514.93x = 2,271.95 × 590.28
  4. Step 4: Simplify right side
    1,514.93x = 1,341,072.33
  5. Step 5: Solve for x
    x = 1,341,072.33/1,514.93
  6. Step 6: Final answer
    x = 885.24

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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.