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Finding the Fourth Proportional to 3,075.76, 4,615.26 and 1,345.60

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Solution

The fourth proportional to 3,075.76, 4,615.26 and 1,345.60 is: 2,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.76 : 4,615.26 = 1,345.60 : x
  2. Step 2: Convert to fraction form
    3,075.76/4,615.26 = 1,345.60/x
  3. Step 3: Cross multiply
    3,075.76x = 4,615.26 × 1,345.60
  4. Step 4: Simplify right side
    3,075.76x = 6,210,293.86
  5. Step 5: Solve for x
    x = 6,210,293.86/3,075.76
  6. Step 6: Final answer
    x = 2,019.11

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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.