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Finding the Fourth Proportional to 1,521.77, 2,281.54 and 1,026.95

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Solution

The fourth proportional to 1,521.77, 2,281.54 and 1,026.95 is: 1,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.77 : 2,281.54 = 1,026.95 : x
  2. Step 2: Convert to fraction form
    1,521.77/2,281.54 = 1,026.95/x
  3. Step 3: Cross multiply
    1,521.77x = 2,281.54 × 1,026.95
  4. Step 4: Simplify right side
    1,521.77x = 2,343,013.53
  5. Step 5: Solve for x
    x = 2,343,013.53/1,521.77
  6. Step 6: Final answer
    x = 1,539.67

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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.