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Finding the Fourth Proportional to 1,602.51, 2,403.84 and 781.48

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Solution

The fourth proportional to 1,602.51, 2,403.84 and 781.48 is: 1,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.51 : 2,403.84 = 781.48 : x
  2. Step 2: Convert to fraction form
    1,602.51/2,403.84 = 781.48/x
  3. Step 3: Cross multiply
    1,602.51x = 2,403.84 × 781.48
  4. Step 4: Simplify right side
    1,602.51x = 1,878,549.95
  5. Step 5: Solve for x
    x = 1,878,549.95/1,602.51
  6. Step 6: Final answer
    x = 1,172.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.