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Finding the Fourth Proportional to 1,771.84, 2,445.15 and 975.18

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Solution

The fourth proportional to 1,771.84, 2,445.15 and 975.18 is: 1,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.84 : 2,445.15 = 975.18 : x
  2. Step 2: Convert to fraction form
    1,771.84/2,445.15 = 975.18/x
  3. Step 3: Cross multiply
    1,771.84x = 2,445.15 × 975.18
  4. Step 4: Simplify right side
    1,771.84x = 2,384,456.50
  5. Step 5: Solve for x
    x = 2,384,456.50/1,771.84
  6. Step 6: Final answer
    x = 1,345.75

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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.