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Finding the Fourth Proportional to 1,547.80, 2,136.25 and 988.45

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Solution

The fourth proportional to 1,547.80, 2,136.25 and 988.45 is: 1,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.80 : 2,136.25 = 988.45 : x
  2. Step 2: Convert to fraction form
    1,547.80/2,136.25 = 988.45/x
  3. Step 3: Cross multiply
    1,547.80x = 2,136.25 × 988.45
  4. Step 4: Simplify right side
    1,547.80x = 2,111,568.50
  5. Step 5: Solve for x
    x = 2,111,568.50/1,547.80
  6. Step 6: Final answer
    x = 1,364.24

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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.