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Finding the Fourth Proportional to 1,417.96, 1,957.74 and 1,085.80

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Solution

The fourth proportional to 1,417.96, 1,957.74 and 1,085.80 is: 1,499.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.96 : 1,957.74 = 1,085.80 : x
  2. Step 2: Convert to fraction form
    1,417.96/1,957.74 = 1,085.80/x
  3. Step 3: Cross multiply
    1,417.96x = 1,957.74 × 1,085.80
  4. Step 4: Simplify right side
    1,417.96x = 2,125,714.09
  5. Step 5: Solve for x
    x = 2,125,714.09/1,417.96
  6. Step 6: Final answer
    x = 1,499.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.