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Finding the Fourth Proportional to 3,075.98, 4,615.47 and 1,430.55

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Solution

The fourth proportional to 3,075.98, 4,615.47 and 1,430.55 is: 2,146.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.98 : 4,615.47 = 1,430.55 : x
  2. Step 2: Convert to fraction form
    3,075.98/4,615.47 = 1,430.55/x
  3. Step 3: Cross multiply
    3,075.98x = 4,615.47 × 1,430.55
  4. Step 4: Simplify right side
    3,075.98x = 6,602,660.61
  5. Step 5: Solve for x
    x = 6,602,660.61/3,075.98
  6. Step 6: Final answer
    x = 2,146.53

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