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Finding the Fourth Proportional to 1,595.02, 2,389.06 and 976.85

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Solution

The fourth proportional to 1,595.02, 2,389.06 and 976.85 is: 1,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.02 : 2,389.06 = 976.85 : x
  2. Step 2: Convert to fraction form
    1,595.02/2,389.06 = 976.85/x
  3. Step 3: Cross multiply
    1,595.02x = 2,389.06 × 976.85
  4. Step 4: Simplify right side
    1,595.02x = 2,333,753.26
  5. Step 5: Solve for x
    x = 2,333,753.26/1,595.02
  6. Step 6: Final answer
    x = 1,463.15

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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.