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Finding the Fourth Proportional to 2,373.57, 3,560.76 and 1,075.14

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Solution

The fourth proportional to 2,373.57, 3,560.76 and 1,075.14 is: 1,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.57 : 3,560.76 = 1,075.14 : x
  2. Step 2: Convert to fraction form
    2,373.57/3,560.76 = 1,075.14/x
  3. Step 3: Cross multiply
    2,373.57x = 3,560.76 × 1,075.14
  4. Step 4: Simplify right side
    2,373.57x = 3,828,315.51
  5. Step 5: Solve for x
    x = 3,828,315.51/2,373.57
  6. Step 6: Final answer
    x = 1,612.89

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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.