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Finding the Fourth Proportional to 2,547.10, 3,517.07 and 2,075.07

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Solution

The fourth proportional to 2,547.10, 3,517.07 and 2,075.07 is: 2,865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.10 : 3,517.07 = 2,075.07 : x
  2. Step 2: Convert to fraction form
    2,547.10/3,517.07 = 2,075.07/x
  3. Step 3: Cross multiply
    2,547.10x = 3,517.07 × 2,075.07
  4. Step 4: Simplify right side
    2,547.10x = 7,298,166.44
  5. Step 5: Solve for x
    x = 7,298,166.44/2,547.10
  6. Step 6: Final answer
    x = 2,865.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.