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Finding the Fourth Proportional to 2,362.04, 3,259.68 and 1,430

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Solution

The fourth proportional to 2,362.04, 3,259.68 and 1,430 is: 1,973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.04 : 3,259.68 = 1,430 : x
  2. Step 2: Convert to fraction form
    2,362.04/3,259.68 = 1,430/x
  3. Step 3: Cross multiply
    2,362.04x = 3,259.68 × 1,430
  4. Step 4: Simplify right side
    2,362.04x = 4,661,342.40
  5. Step 5: Solve for x
    x = 4,661,342.40/2,362.04
  6. Step 6: Final answer
    x = 1,973.44

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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.