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Finding the Fourth Proportional to 2,567.50, 3,851.45 and 924.21

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Solution

The fourth proportional to 2,567.50, 3,851.45 and 924.21 is: 1,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.50 : 3,851.45 = 924.21 : x
  2. Step 2: Convert to fraction form
    2,567.50/3,851.45 = 924.21/x
  3. Step 3: Cross multiply
    2,567.50x = 3,851.45 × 924.21
  4. Step 4: Simplify right side
    2,567.50x = 3,559,547.45
  5. Step 5: Solve for x
    x = 3,559,547.45/2,567.50
  6. Step 6: Final answer
    x = 1,386.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.