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Finding the Fourth Proportional to 1,880.47, 2,595 and 1,041.15

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Solution

The fourth proportional to 1,880.47, 2,595 and 1,041.15 is: 1,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.47 : 2,595 = 1,041.15 : x
  2. Step 2: Convert to fraction form
    1,880.47/2,595 = 1,041.15/x
  3. Step 3: Cross multiply
    1,880.47x = 2,595 × 1,041.15
  4. Step 4: Simplify right side
    1,880.47x = 2,701,784.25
  5. Step 5: Solve for x
    x = 2,701,784.25/1,880.47
  6. Step 6: Final answer
    x = 1,436.76

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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.