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Finding the Fourth Proportional to 1,504.71, 2,075.76 and 1,007.46

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Solution

The fourth proportional to 1,504.71, 2,075.76 and 1,007.46 is: 1,389.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.71 : 2,075.76 = 1,007.46 : x
  2. Step 2: Convert to fraction form
    1,504.71/2,075.76 = 1,007.46/x
  3. Step 3: Cross multiply
    1,504.71x = 2,075.76 × 1,007.46
  4. Step 4: Simplify right side
    1,504.71x = 2,091,245.17
  5. Step 5: Solve for x
    x = 2,091,245.17/1,504.71
  6. Step 6: Final answer
    x = 1,389.80

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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.