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Finding the Fourth Proportional to 1,827.53, 2,521.89 and 1,030.99

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Solution

The fourth proportional to 1,827.53, 2,521.89 and 1,030.99 is: 1,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.53 : 2,521.89 = 1,030.99 : x
  2. Step 2: Convert to fraction form
    1,827.53/2,521.89 = 1,030.99/x
  3. Step 3: Cross multiply
    1,827.53x = 2,521.89 × 1,030.99
  4. Step 4: Simplify right side
    1,827.53x = 2,600,030.76
  5. Step 5: Solve for x
    x = 2,600,030.76/1,827.53
  6. Step 6: Final answer
    x = 1,422.70

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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.