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Finding the Fourth Proportional to 1,742.13, 2,403.72 and 985.93

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Solution

The fourth proportional to 1,742.13, 2,403.72 and 985.93 is: 1,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.13 : 2,403.72 = 985.93 : x
  2. Step 2: Convert to fraction form
    1,742.13/2,403.72 = 985.93/x
  3. Step 3: Cross multiply
    1,742.13x = 2,403.72 × 985.93
  4. Step 4: Simplify right side
    1,742.13x = 2,369,897.35
  5. Step 5: Solve for x
    x = 2,369,897.35/1,742.13
  6. Step 6: Final answer
    x = 1,360.34

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1.5x scale

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.