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Finding the Fourth Proportional to 1,503.74, 2,075.28 and 1,006.58

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Solution

The fourth proportional to 1,503.74, 2,075.28 and 1,006.58 is: 1,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.74 : 2,075.28 = 1,006.58 : x
  2. Step 2: Convert to fraction form
    1,503.74/2,075.28 = 1,006.58/x
  3. Step 3: Cross multiply
    1,503.74x = 2,075.28 × 1,006.58
  4. Step 4: Simplify right side
    1,503.74x = 2,088,936.76
  5. Step 5: Solve for x
    x = 2,088,936.76/1,503.74
  6. Step 6: Final answer
    x = 1,389.16

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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.