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Finding the Fourth Proportional to 2,156.48, 2,972.00 and 1,565.99

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Solution

The fourth proportional to 2,156.48, 2,972.00 and 1,565.99 is: 2,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.48 : 2,972.00 = 1,565.99 : x
  2. Step 2: Convert to fraction form
    2,156.48/2,972.00 = 1,565.99/x
  3. Step 3: Cross multiply
    2,156.48x = 2,972.00 × 1,565.99
  4. Step 4: Simplify right side
    2,156.48x = 4,654,114.45
  5. Step 5: Solve for x
    x = 4,654,114.45/2,156.48
  6. Step 6: Final answer
    x = 2,158.20

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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.