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Finding the Fourth Proportional to 2,430.80, 3,354 and 1,435.92

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Solution

The fourth proportional to 2,430.80, 3,354 and 1,435.92 is: 1,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.80 : 3,354 = 1,435.92 : x
  2. Step 2: Convert to fraction form
    2,430.80/3,354 = 1,435.92/x
  3. Step 3: Cross multiply
    2,430.80x = 3,354 × 1,435.92
  4. Step 4: Simplify right side
    2,430.80x = 4,816,075.68
  5. Step 5: Solve for x
    x = 4,816,075.68/2,430.80
  6. Step 6: Final answer
    x = 1,981.27

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