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Finding the Fourth Proportional to 1,985.95, 2,740.54 and 1,146.69

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Solution

The fourth proportional to 1,985.95, 2,740.54 and 1,146.69 is: 1,582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.95 : 2,740.54 = 1,146.69 : x
  2. Step 2: Convert to fraction form
    1,985.95/2,740.54 = 1,146.69/x
  3. Step 3: Cross multiply
    1,985.95x = 2,740.54 × 1,146.69
  4. Step 4: Simplify right side
    1,985.95x = 3,142,549.81
  5. Step 5: Solve for x
    x = 3,142,549.81/1,985.95
  6. Step 6: Final answer
    x = 1,582.39

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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.