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Finding the Fourth Proportional to 1,858.34, 2,564.24 and 1,061.76

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Solution

The fourth proportional to 1,858.34, 2,564.24 and 1,061.76 is: 1,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.34 : 2,564.24 = 1,061.76 : x
  2. Step 2: Convert to fraction form
    1,858.34/2,564.24 = 1,061.76/x
  3. Step 3: Cross multiply
    1,858.34x = 2,564.24 × 1,061.76
  4. Step 4: Simplify right side
    1,858.34x = 2,722,607.46
  5. Step 5: Solve for x
    x = 2,722,607.46/1,858.34
  6. Step 6: Final answer
    x = 1,465.07

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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.