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Finding the Fourth Proportional to 1,547.02, 2,316.69 and 895.78

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Solution

The fourth proportional to 1,547.02, 2,316.69 and 895.78 is: 1,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.02 : 2,316.69 = 895.78 : x
  2. Step 2: Convert to fraction form
    1,547.02/2,316.69 = 895.78/x
  3. Step 3: Cross multiply
    1,547.02x = 2,316.69 × 895.78
  4. Step 4: Simplify right side
    1,547.02x = 2,075,244.57
  5. Step 5: Solve for x
    x = 2,075,244.57/1,547.02
  6. Step 6: Final answer
    x = 1,341.45

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