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Finding the Fourth Proportional to 1,521.76, 2,278.56 and 1,058.56

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Solution

The fourth proportional to 1,521.76, 2,278.56 and 1,058.56 is: 1,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.76 : 2,278.56 = 1,058.56 : x
  2. Step 2: Convert to fraction form
    1,521.76/2,278.56 = 1,058.56/x
  3. Step 3: Cross multiply
    1,521.76x = 2,278.56 × 1,058.56
  4. Step 4: Simplify right side
    1,521.76x = 2,411,992.47
  5. Step 5: Solve for x
    x = 2,411,992.47/1,521.76
  6. Step 6: Final answer
    x = 1,585.00

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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.