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Finding the Fourth Proportional to 2,590.85, 3,575.47 and 1,412.00

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Solution

The fourth proportional to 2,590.85, 3,575.47 and 1,412.00 is: 1,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.85 : 3,575.47 = 1,412.00 : x
  2. Step 2: Convert to fraction form
    2,590.85/3,575.47 = 1,412.00/x
  3. Step 3: Cross multiply
    2,590.85x = 3,575.47 × 1,412.00
  4. Step 4: Simplify right side
    2,590.85x = 5,048,542.23
  5. Step 5: Solve for x
    x = 5,048,542.23/2,590.85
  6. Step 6: Final answer
    x = 1,948.60

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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.