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Finding the Fourth Proportional to 2,547.90, 3,515.97 and 1,428.93

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Solution

The fourth proportional to 2,547.90, 3,515.97 and 1,428.93 is: 1,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.90 : 3,515.97 = 1,428.93 : x
  2. Step 2: Convert to fraction form
    2,547.90/3,515.97 = 1,428.93/x
  3. Step 3: Cross multiply
    2,547.90x = 3,515.97 × 1,428.93
  4. Step 4: Simplify right side
    2,547.90x = 5,024,075.01
  5. Step 5: Solve for x
    x = 5,024,075.01/2,547.90
  6. Step 6: Final answer
    x = 1,971.85

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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.