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Finding the Fourth Proportional to 2,547.95, 3,516.13 and 1,428.99

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Solution

The fourth proportional to 2,547.95, 3,516.13 and 1,428.99 is: 1,971.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.95 : 3,516.13 = 1,428.99 : x
  2. Step 2: Convert to fraction form
    2,547.95/3,516.13 = 1,428.99/x
  3. Step 3: Cross multiply
    2,547.95x = 3,516.13 × 1,428.99
  4. Step 4: Simplify right side
    2,547.95x = 5,024,514.61
  5. Step 5: Solve for x
    x = 5,024,514.61/2,547.95
  6. Step 6: Final answer
    x = 1,971.98

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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.