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Finding the Fourth Proportional to 1,611.34, 2,417.93 and 870.95

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Solution

The fourth proportional to 1,611.34, 2,417.93 and 870.95 is: 1,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.34 : 2,417.93 = 870.95 : x
  2. Step 2: Convert to fraction form
    1,611.34/2,417.93 = 870.95/x
  3. Step 3: Cross multiply
    1,611.34x = 2,417.93 × 870.95
  4. Step 4: Simplify right side
    1,611.34x = 2,105,886.22
  5. Step 5: Solve for x
    x = 2,105,886.22/1,611.34
  6. Step 6: Final answer
    x = 1,306.92

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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.