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Finding the Fourth Proportional to 2,911.33, 4,017.65 and 1,585.00

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Solution

The fourth proportional to 2,911.33, 4,017.65 and 1,585.00 is: 2,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.33 : 4,017.65 = 1,585.00 : x
  2. Step 2: Convert to fraction form
    2,911.33/4,017.65 = 1,585.00/x
  3. Step 3: Cross multiply
    2,911.33x = 4,017.65 × 1,585.00
  4. Step 4: Simplify right side
    2,911.33x = 6,367,981.26
  5. Step 5: Solve for x
    x = 6,367,981.26/2,911.33
  6. Step 6: Final answer
    x = 2,187.31

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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.