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Finding the Fourth Proportional to 1,495.61, 2,063.17 and 874.25

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Solution

The fourth proportional to 1,495.61, 2,063.17 and 874.25 is: 1,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.61 : 2,063.17 = 874.25 : x
  2. Step 2: Convert to fraction form
    1,495.61/2,063.17 = 874.25/x
  3. Step 3: Cross multiply
    1,495.61x = 2,063.17 × 874.25
  4. Step 4: Simplify right side
    1,495.61x = 1,803,726.37
  5. Step 5: Solve for x
    x = 1,803,726.37/1,495.61
  6. Step 6: Final answer
    x = 1,206.01

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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.